A Uniform Ball with Diameter of 10 Cm Rolls Without

question 137

Short Answer

A uniform ball with diameter of 10 cm rolls without slipping on a horizontal tabletop. The moment of inertia of the ball about an axis through its center is 2.2 × 10^-3 kg ∙ m², and the translational speed of its center is 0.45 m/s.
(a) What is its angular speed of the ball about its center of mass?
(b) What is the rotational kinetic energy of the ball?
(c) What is the ball's angular momentum about its center of mass?

---

Definitions:

Given

A term used in mathematics and logic to denote something that is assumed to be true or is provided as part of the problem statement.

Simplify

To simplify a mathematical expression or problem to its most basic version.

Competitive Output Markets

Markets where multiple firms sell similar or identical products, and prices are determined through competition among sellers.

Exponent

In mathematics, a number indicating how many times a base is to be multiplied by itself.