Rotational Motion
Physics ⇒ Mechanics
Rotational Motion starts at 11 and continues till grade 12.
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See sample questions for grade 11
A child sits at the edge of a rotating merry-go-round. If the child moves towards the center, what happens to the angular velocity of the system (assuming no external torque)?
A uniform rod of length L and mass M is rotated about an axis passing through its center and perpendicular to its length. What is its moment of inertia?
Define torque and write its SI unit.
Explain the law of conservation of angular momentum.
A child sits at the edge of a rotating merry-go-round. If the child moves towards the center, what happens to the angular velocity of the system (assuming no external torque)?
Explain why a figure skater spins faster when pulling in their arms.
A solid sphere and a solid cylinder, each of mass 2 kg and radius 0.2 m, are released from rest at the top of an inclined plane of height 1 m. Which one reaches the bottom first? Justify your answer.
A thin rod of length 1.5 m and mass 2 kg is rotated about an axis perpendicular to its length and passing through a point 0.5 m from one end. Calculate its moment of inertia about this axis.
Which of the following best describes the moment of inertia?
(1) Resistance to change in linear motion
(2) Resistance to change in rotational motion
(3) Product of mass and velocity
(4) Product of force and distance
Which of the following does NOT affect the moment of inertia of a body?
(1) Mass of the body
(2) Distribution of mass
(3) Axis of rotation
(4) Temperature of the body
Which of the following is NOT a characteristic of rotational motion?
(1) All points move in circles about a common axis
(2) All points have the same linear velocity
(3) All points have the same angular velocity
(4) The axis of rotation may be fixed or moving
Which of the following is NOT a rotational analog of a linear quantity?
(1) Displacement – Angular displacement
(2) Velocity – Angular velocity
(3) Mass – Moment of inertia
(4) Force – Angular momentum
Fill in the blank: The angular momentum of a particle of mass m moving with velocity v at a distance r from the axis is ________.
Fill in the blank: The moment of inertia of a thin ring of mass M and radius R about its central axis is ________.
Fill in the blank: The rotational analog of Newton's second law is τ = ________.
The angular displacement of a rotating object is measured in ________.
True or False: The center of mass and the center of gravity of a uniform rigid body always coincide.
True or False: The direction of angular velocity vector is perpendicular to the plane of rotation.
True or False: The moment of inertia of a body depends only on its mass.
True or False: The moment of inertia of a body is minimum about its center of mass axis.
