1. Mechanics

Rotational Dynamics — Quiz

Test your understanding of rotational dynamics with 5 practice questions.

Practice Questions

Question 1

A uniform solid cylinder of mass $M$ and radius $R$ is rolling without slipping on a horizontal surface. If its linear speed is $v$, what is its total kinetic energy?

Question 2

A uniform rod of length $L$ and mass $M$ is pivoted at one end. If it is released from rest in a horizontal position, what is its angular speed when it reaches the vertical position?

Question 3

A gyroscope is spinning with a large angular momentum. If a small external torque is applied perpendicular to its angular momentum vector, what is the resulting motion?

Question 4

Two identical spheres, one solid and one hollow, both with mass $M$ and radius $R$, are released from rest at the same height on an inclined plane. Assuming they roll without slipping, which statement correctly describes their motion?

Question 5

A uniform rod of mass $M$ and length $L$ is pivoted at its center. A force $F$ is applied perpendicularly to one end of the rod. What is the angular acceleration of the rod?