Q. 31

Expert-verifiedFound in: Page 416

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

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.

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

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.

The period of the pendulum is found in Equation

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

Substitute for Equation

Solve for :

Substitute of numerical value.

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