Rotational Dynamics MCQ Practice_4

A uniform rod of length L and mass M is released from rest at θ relative to the vertical axis and rotates about a horizontal axis through its base, as shown in the figure below. What is the magnitude of the angular acceleration |𝛼| of the rod as a function of θ? (Ignore the effects of friction and air resistance.) A turntable (solid disk) of mass M and radius R spins freely about the vertical axis at an initial angular velocity ω. A small body of mass m is dropped close to the edge of the turntable with negligible initial velocity. The body comes to rest relative to the turntable. What is the final angular velocity of the turntable? A solid cylinder, circular ring, solid sphere, and a hollow sphere are released from rest on an inclined plane from the same level. If there is no slipping then which one of these will reach the ground last? A cord is wound around the circumference of a wheel of radius r. The axis of the wheel is horizontal and the moment of inertia about it is I. A weight mg is attached to the cord at the end. The weight falls from rest. After falling through a distance h, the angular velocity of the wheel will be