Exam 12: Rotation I: Kinematics and Dynamics

Identical particles are placed at the 50-cm and 80-cm marks on a meter stick of negligible mass. This rigid body is then mounted so as to rotate freely about a pivot at the 0-cm mark on the meter stick. If this body is released from rest in a horizontal position, what is the angular speed of the meter stick as it swings through its lowest position?

The graphs below show angular velocity as a function of time. In which one is the magnitude of the angular acceleration constantly decreasing?

The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. ​ ​ Use this exhibit to answer the following question(s). -What is her angular displacement (in rad) in the first 12 minutes?

A nonuniform 2.0-kg rod is 2.0 m long. The rod is mounted to rotate freely about a horizontal axis perpendicular to the rod that passes through one end of the rod. The rotational inertia of the rod about this axis is 4.0 kg⋅m². The center of mass of the rod is 1.2 m from the axis. If the rod is released from rest in the horizontal position, what is its angular speed as it swings through the vertical position?

The turntable of a record player has an angular velocity of 8.0 rad/s when it is turned off. The turntable comes to rest 2.5 s after being turned off. Through how many radians does the turntable rotate after being turned off? Assume constant angular acceleration.