PhysicsLAB AP Free Response Question
2004 C3

 
A uniform rod of mass M and length L is attached to a pivot of negligible friction as shown above. The pivot is located at a distance from the left end of the rod. Express all answers in terms of the given quantities and fundamental constants.
 
 (a) Calculate the rotational inertia of the rod about the pivot.

The rod is then released from rest from the horizontal position shown below.
 
 
 (b) Calculate the linear speed of the bottom end of the rod when the rod passes through the vertical.

 (c) The rod is brought to rest in the vertical position shown above and hangs freely. It is then displaced slightly from this position. Calculate the period of oscillation as it swings.





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