Solved: A uniform, solid disk with mass m and radius R is

Chapter 9, Problem 9.78

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

A uniform, solid disk with mass m and radius R is pivoted about a horizontal axis through its center. A small object of the same mass m is glued to the rim of the disk. If the disk is released from rest with the small object at the end of a horizontal radius, find the angular speed when the small object is directly below the axis.

Questions & Answers

QUESTION:

A uniform, solid disk with mass m and radius R is pivoted about a horizontal axis through its center. A small object of the same mass m is glued to the rim of the disk. If the disk is released from rest with the small object at the end of a horizontal radius, find the angular speed when the small object is directly below the axis.

ANSWER:

Step 1 of 2

This question can be solved by using the principle of conservation of energy. Total initial mechanical energy of the system is equal to the total final mechanical energy.

The disk is released from rest, hence initial kinetic energy is zero.

Initial potential energy , where R is given to be the radius of the disk.

Initial total mechanical energy …..(1)

Let the angular speed be .

So, kinetic energy  I is the moment of inertia of the whole system.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back