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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 230

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Short Answer

A uniform solid bar with mass m and length L rotates with angular velocity v about an axle at one end of the bar. What is the bar’s kinetic energy?

The total kinetic energy of the bar is

See the step by step solution

Step by Step Solution

Step 1: Content Introduction

The formula to find kinetic energy for the small element of bar is

here, is the kinetic energy of the small element of bar, is linear velocity, is mass element of the same.

Step 2: Content Explanation

Integrate the kinetic energy of each small element of the bar to find the total kinetic energy,

The formula to find the small mass is


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