Torque and Rotational Motion

A solid disc with a moment of inertia of 2 kg·m² experiences a net torque of 4 N·m. What is the angular acceleration of the disc?

A car's wheel of radius 0.3 m rolls without slipping. If the car's linear acceleration is 2 m/s², what is the angular acceleration of its wheels?

How does the distribution of mass affect the moment of inertia of an object?

Which of the following is the correct expression for angular displacement, where $s$ is the arc length and $r$ is the radius?

A disc of radius $R$ rotates with an angular velocity of $\omega$. What is the linear velocity $v$ of a point on the edge of the disc?

A wheel starts from rest and accelerates uniformly with an angular acceleration $\alpha$ of 2 rad/s². How many seconds will it take for the wheel to reach an angular velocity $\omega$ of 10 rad/s?

Which of the following factors does NOT affect the magnitude of the torque?

A force of 10 N is applied to a wrench at a distance of 0.3 m from the bolt. If the angle between the force and the wrench is 30 degrees, what is the magnitude of the torque applied to the bolt?

What is the moment of inertia of a point mass $m$ at a distance $R$ from the axis of rotation?

A system consists of two small spheres, each of mass $m$, fixed to the ends of a rod of length 2R and negligible mass. The rod is held horizontally and rotated about its center. What is the moment of inertia of the system about this axis?