Rotational Motion and Inertia

If the angular momentum of a rotating body is increased by 200%, then its kinetic energy of rotation will be increased by

A ring, a solid sphere, and a thin disc of different masses rotate with the same kinetic energy. Equal torques are applied to stop them. Which will make the least number of rotations before coming to rest?

The angular velocity of a body is ω = 2ˆi + 3ˆj + 4kˆ and a torque τ = ˆi + 2ˆj + 3kˆ acts on it. The rotational power will be

A flywheel of moment of inertia 0.32 kg-m² is rotated steadily at 120 rad/sec by a 50 W electric motor. The kinetic energy of the flywheel is

If the torque acting on a rotating body is doubled, its rotational power will be increased by

What happens to a person's moment of inertia when they stretch out their limbs?

What is the difference between translation and rotation?

What is a characteristic of a rigid body?

What is the purpose of internal forces in a system?

What is the main topic of study in this chapter?

What is the moment of inertia of a ring of radius 0.5 m and mass 10 kg?

What is the rotational kinetic energy of a rotating body?

What is the torque of an automobile engine that develops 100 kW when rotating at a speed of 1800 rev/min?

What is the ratio of rotational kinetic energy to translational kinetic energy for a solid cylinder?

What is the angular velocity of a ring rotating about its diameter with an angular velocity of 20 rad/s?

What is the effect on the moment of inertia of a diver when he stretches out his limbs in mid-air?

What is the characteristic of a rigid body?

What is the difference between translation and rotation?

Why does the diver's motion change from a high angular speed to a gentle speed when he enters the water?

What is the purpose of internal forces in a system?

A cylindrical shell of radius 0.2 m and mass 5 kg is rotating about its axis with an angular velocity of 15 rad/s. What is its rotational kinetic energy?

A solid sphere of radius 0.4 m and mass 10 kg is rotating about an axis passing through its center with an angular velocity of 20 rad/s. What is its moment of inertia?

A ring of radius 0.3 m and mass 8 kg is rotating about its diameter with an angular velocity of 15 rad/s. What is its angular momentum?

A compound pendulum consists of a rod of length 0.5 m and mass 2 kg, and a point mass of 1 kg attached to its end. What is its moment of inertia about an axis passing through the pivot?

A disc of radius 0.2 m and mass 5 kg is oscillating about an axis passing through its center with a frequency of 2 Hz. What is its rotational kinetic energy?

If the moment of inertia of a rotating body is increased by 50%_about a particular axis, then its angular velocity about that axis will be increased by

A solid sphere and a thin disc of different masses rotate with the same angular velocity. If the torque acting on them is the same, which will have the higher rotational kinetic energy?

A compound pendulum consists of two point masses connected by a light rod of length 1m. If the moment of inertia of the pendulum about the pivot is 0.5 kg-m², what is the angular frequency of the pendulum?

A rotating body oscillates about a stable equilibrium position. If the amplitude of the oscillations is 0.1 rad, what is the maximum angular velocity of the body?

If the rotational kinetic energy of a rotating body is increased by 400%, then its angular velocity will be increased by