Select your language

Suggested languages for you:
Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 31

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 416

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

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

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.

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.