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 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 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?
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.
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.
Explain why a figure skater spins faster when pulling in their arms.
Which of the following objects will roll down an inclined plane fastest, assuming same mass and radius? (1) Solid sphere (2) Hollow sphere (3) Solid cylinder (4) Thin ring
The moment of inertia of a body about an axis depends on which of the following? (1) Mass of the body (2) Distribution of mass (3) Position and orientation of the axis (4) All of the above
Which of the following has the greatest moment of inertia about its central axis? (1) Solid sphere (2) Hollow sphere (3) Solid cylinder (4) Thin ring, all of same mass and radius.
Which of the following is NOT a correct unit for moment of inertia? (1) kg·m2 (2) g·cm2 (3) kg·m (4) kg·cm2
Which of the following objects will roll down an inclined plane fastest, assuming same mass and radius? (1) Solid sphere (2) Hollow sphere (3) Solid cylinder (4) Thin ring
A uniform rod of length L and mass M has a moment of inertia about an axis through its center and perpendicular to its length given by ________.
If the axis of rotation passes through the center of mass, the moment of inertia is ________ (minimum/maximum) for a given body.
The moment of inertia of a thin ring of mass M and radius R about its central axis is ________.
The moment of inertia of a uniform solid sphere of mass M and radius R about its diameter is ________.
True or False: The moment of inertia of a body about a given axis can be less than zero.
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 always positive.
True or False: The moment of inertia of a system of particles is the sum of the moments of inertia of the individual particles about the same axis.
