A force F=-yi+xj acts on the rim of a rigid disc which can freely rotate about z axis along anticlockwise direction in x y plane .Center of disc is at origin .If the work done by the force is 32π in one complete revolution , find the radius of the disc?

Question

Aman · Answer

As we know that the work done by the torque is Torque.angle rotated.
So tor que about centre by applied force is. r*F. That is. Let r be radius (r j cap) *(force). Now doing vector product. r j^ * (-yi^+xj^). After solving we get. -ry k^ and work done in complete revolution is. (-ry k^) • 2pi -k^=32pi. The we get final answer r = 16/y.
Please report if any correction

Utkarsh shukla · Answer

Thanks dude I got my ans 4 let r=xi+yj and then use x^2+y^2 =r^2. Torq=k(x^2+y^2)=kr^2Work=torq×2π=32πr=4

Thank you for registering.

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

Enter Your Details

Registration done!

Guest

A force F=-yi+xj acts on the rim of a rigid disc which can freely rotate about z axis along anticlockwise direction in x y plane .Center of disc is at origin .If the work done by the force is 32π in one complete revolution , find the radius of the disc?

A force F=-yi+xj acts on the rim of a rigid disc which can freely rotate about z axis along anticlockwise direction in x y plane .Center of disc is at origin .If the work done by the force is 32π in one complete revolution , find the radius of the disc?

2 Answers

Think You Can Provide A Better Answer ?

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

Thank you for registering.

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

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

A force F=-yi+xj acts on the rim of a rigid disc which can freely rotate about z axis along anticlockwise direction in x y plane .Center of disc is at origin .If the work done by the force is 32π in one complete revolution , find the radius of the disc?

A force F=-yi+xj acts on the rim of a rigid disc which can freely rotate about z axis along anticlockwise direction in x y plane .Center of disc is at origin .If the work done by the force is 32π in one complete revolution , find the radius of the disc?

2 Answers

Think You Can Provide A Better Answer ?

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