A disk of mass m on a frictionless table is attached to a hanging cylinder of mass M by a cord through a hole in the table (see Fig). Find the speed with which the disk must move in a circle of radius r for the cylinder to stay at rest.

Question

Kevin Nash · Answer

The free body diagram of the rotating disk is:

It can be seen from the diagram that the centripetal force to the disk must be provided by the tension in the cord, therefore

The free body diagram of the cylinder is shown below:

For the cylinder to stay at rest, the tension in the cord should be equal to its weight, that is T = W.

Here g is the acceleration due to gravity.
Therefore the speed with which the disk should rotate to keep the cylinder at rest is given by expression

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

A disk of mass m on a frictionless table is attached to a hanging cylinder of mass M by a cord through a hole in the table (see Fig). Find the speed with which the disk must move in a circle of radius r for the cylinder to stay at rest.

A disk of mass m on a frictionless table is attached to a hanging cylinder of mass M by a cord through a hole in the table (see Fig). Find the speed with which the disk must move in a circle of radius r for the cylinder to stay at rest.

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Mechanics

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship