Moment of Inertia
Physics ⇒ Mechanics
Moment of Inertia starts at 11 and continues till grade 12.
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See sample questions for grade 12
A body has a moment of inertia of 10 kg·m2 about a certain axis. If its angular velocity is 4 rad/s, what is its rotational kinetic energy?
A disc of mass 4 kg and radius 0.5 m rotates about its central axis. Calculate its moment of inertia.
A solid cylinder of mass 5 kg and radius 0.2 m rotates about its central axis. Calculate its moment of inertia.
A solid sphere and a hollow sphere of the same mass and radius are rotating about their diameters. Which has a greater moment of inertia?
A system consists of two point masses, 2 kg and 3 kg, located 2 m and 3 m from the axis of rotation, respectively. Calculate the total moment of inertia of the system.
A thin rectangular plate of mass M, length a, and width b is rotated about an axis passing through its center and perpendicular to its plane. Write the expression for its moment of inertia.
A thin rod of length L and mass M is rotated about an axis perpendicular to its length and passing through one end. What is its moment of inertia?
A uniform disc of mass 2 kg and radius 0.3 m is rotating about an axis passing through its center and perpendicular to its plane. Calculate its moment of inertia.
A uniform thin rod of length 2 m and mass 3 kg is rotated about an axis perpendicular to its length and passing through one end. Calculate its moment of inertia.
Calculate the moment of inertia of a point mass m = 2 kg located at a distance r = 3 m from the axis of rotation.
Define the moment of inertia and explain its physical significance in rotational motion.
Describe how the distribution of mass affects the moment of inertia of an object.
Explain why a figure skater spins faster when pulling in their arms.
If the mass of a rotating object is doubled and its radius is halved, how does its moment of inertia change (assuming I = MR2)?
If the moment of inertia of a disc about its central axis is I, what is its moment of inertia about a parallel axis passing through its edge?
State the parallel axis theorem for moment of inertia.
State the perpendicular axis theorem for moment of inertia.
Which theorem allows you to calculate the moment of inertia about any axis parallel to one passing through the center of mass?
