Problems:

1) The momentum of an 1.5 kg object is given by

Find the acceleration of the object at t = 3 seconds.

2) The angular momentum of a 2.3 kg cylinder of radius 25 cm which is oriented with its main axis along the z-axis is

Find the angular acceleration of the cylinder.

1) The net force is the derivative of the linear momentum:

The acceleration may be obtained by equating this to ma:

2) The net torque is the derivative of the angular momentum:

Equating this to I times the angular acceleration,