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Q. 31

Expert-verified
Found in: Page 416

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A uniform steel bar swings from a pivot at one end with a period of How long is the bar?

Determine the length of the bar is

See the step by step solution

## Step1: Concept and principle.

A pendulum is an extended object that, for tiny angular displacements, may be modeled to maneuver in simple periodic motion with a couple of pivots that don't undergo the middle of mass.

where is the moment of inertia of the thing about an axis through the pivot and is that the distance from the pivot to the middle of a mass of the article.

## Step2: Given data.

• We have an even steel bar swinging from a pivot at one end.
• The period of the pendulum is:

## Step3; Required data

We are asked to see the length of the bar.

The moment of inertia of the same bar rotating about an axis through one end is found from Table

Where is the length of the bar.

## Step4: Solution of the

The period of the pendulum is found in Equation

Since the bar is uniform, the middle of mass is found in the middle and

## Step5: Equation of the worth.

Substitute for Equation

Solve for :

Substitute of numerical value.