Rotational Motion Quiz 2

Rotational Motion Quiz

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1. What is the moment of inertia of a solid sphere of mass M and radius R about its diameter?

(2/3) MR²
(1/2) MR²
(2/5) MR²
(3/5) MR²

2. What is the angular velocity of an object rotating with a period of 2 seconds?

π rad/s
2π rad/s
π/2 rad/s
4π rad/s

3. What is the relationship between torque (τ) and angular acceleration (α) for a rigid body?

τ = Iα²
τ = Iα
τ = α/I
τ = I²α

4. A disk is spinning with an angular velocity ω. If the radius of the disk is doubled, how does the moment of inertia change?

It remains the same
It doubles
It halves
It quadruples

5. Which of the following quantities is conserved in a system with no external torque?

Linear momentum
Kinetic energy
Angular momentum
Potential energy

6. What is the angular momentum of a particle of mass m moving with velocity v at a distance r from a point?

mvr/2
mvr
2mvr
mv²r

7. A point mass m is attached to a string of length L and rotated with angular velocity ω. What is the tension in the string?

mω²L
mωL²
mωL
mL/ω²

8. If the angular velocity of a rotating object is doubled, what happens to its rotational kinetic energy?

It remains the same
It doubles
It halves
It quadruples

9. Which of the following best describes the precession of a gyroscope?

The gyroscope moves in a straight line
The gyroscope rotates about an axis that changes direction
The gyroscope spins faster over time
The gyroscope comes to a stop

10. What is the effect of increasing the distance of the mass from the axis of rotation on the moment of inertia?

It decreases
It increases
It remains unchanged
It first increases and then decreases

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