SPH4U1 - Dynamics Problems Set 4 
                  
                 Problems 
                 1.  For each situation below, determine the acceleration of the system and then tension in each rope when 
                                                                   1
                     a) friction is absent            b) μ  = 0.20  
                                                           K
                      
                                                                                                                                           
                      
                                                                        
                      
                                                                                                                                     
                      
                                                                            
                 1
                   Physics Book Two, Irwin Publishing, Chapter 2 Problems, #49 
                                           SPH4U1 - Dynamics Problems Set 
                                                       
        
                                                    
          
                                                   
                                           SPH4U1 - Dynamics Problems Set 
                                                    
          
                                                     
          
                                                   
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                SPH4U1 - Dynamics Problems Set 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
                                                                                                                                                                         
                                                                                                                                   
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            μ = 0.3 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 m                                                                                           
                                                                                                                                  2.  a) Find the acceleration of the system and the                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     1
                                                                                                                                                                        tension in the two strings. 
                                                                                                                                                                        b) Calculate the minimum coefficient of friction                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       m 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2
                                                                                                                                                                        between m  and m  that would cause the system 
                                                                                                                                                                                                                                                                                  1                                                                       2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2
                                                                                                                                                                        to remain motionless when released.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           m = 2 kg                                                                                                                                                                                                                                 μ = 0                                                                                                                                                                          m 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1                                                                                                                                                                                                                                                                                                                                                                                                                           3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      m = 3 kg                                                                                                                                                                                                                                  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      m = 10 kg 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
                                                                                                                                  3.  a) Find F such that m  and m  remain stationary relative to m (no friction).  
                                                                                                                                                                                                                                                                                                                                                                          1                                                                      2                                                                                                                                                                                                                                                                                                             3 
                                                                                                                                                                        b) If μ  = 0.25 and μ  = 0, find the maximum and minimum F required to keep m  and m  stationary 
                                                                                                                                                                                                                               1                                                                                                                               2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             1                                                                      2
                                                                                                                                                                                                                                                                                                            3
                                                                                                                                                                        relative to m .  
                                                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                m = 7 kg 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   m                                                                                                                                                                                                                                                                                                                                                1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           1                                                                                                                                                                                                                                                                                                    m = 10 kg 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                m = 50 kg 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        μ                                                                                                                                                                                                                                                                                                                                                                                           3
                                                                                                                                                                                                                                                                                                                                                                                                              F                                                                                                       1                                                                                                                                                                                                                                                                                                                                                          
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               m                                                                                                                                                                       m 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      3                                                                                                                                                                       2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                μ   
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
                                                                                                                                   
                                                                                                                                                                                             
                                                                                                                                  2
                                                                                                                                          Advanced Block & Pulley Problems, Origin Unknown 
                                                                                                                                  3
                                                                                                                                          Advanced Block & Pulley Problems, Origin Unknown