a. (15 points)

Calculate the translational and rotational speeds of a disc (radius 30cm and mass 2kg), that rolls without slipping down a 30.0^o incline that is 5.0m long, when it reaches the bottom. Assume it started from rest. Moment of inertia of a disc is given as I = ½MR² where M and R are the mass and radius of the disc respectively.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

b.  (10 points)

Calculate the angular acceleration and hence the time it takes to roll down the incline. (Hint: use the kinematics equations.)