Guest

A Rod of Mass m and length l is rotating with angular speed w about an axis, passing through it's end point and perpendicular to it's length. Find the tension in the string at distance x from the end

A Rod of Mass m and length l is rotating with angular speed w about an axis, passing through it's end point and perpendicular to it's length. Find the tension in the string at distance x from the end

Grade:11

2 Answers

Arun
25763 Points
2 years ago
As no external torque is present, there is no angular acceleration and thus angular velocity remains constant. Also as the angular velocity is constant the kinetic energy too remains conserved. Also by definition, for no external torque the angular momentum about the center of mass remains conserved
Vikas TU
14149 Points
2 years ago
 mass of the element = dm =m/l dx 
The force on the element towards the axis =T−(T+dT)=−dT
−dT=(dm)ω^2x = (m/ldx)w^2x 
T = -mw^2/l * x^2/2 + constant 
x = 1 , T = 0 
constant  1/2 * (mw^2l^2)/l
T = 1/2 mw^2/l (l^2-x^2)
Good Luck  
 

Think You Can Provide A Better Answer ?

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

ASK QUESTION

Get your questions answered by the expert for free