IIT JEE , AIEEE Forum - Physics , Mechanics

trisha

A cylinder of radius R is placed between an axle of radius R and outer coaxial cylindrical shell of radius 3R.Inner axle rotates anticlockwise with angular velocity

and the outer shell also rotates anticlockwise with angular velocity 3

.If there is no slipping at any contact,find the angular velocity of the intermediate cylinder.

krishna.gopal

Let A and B be points on intermediate cylinder which touch inner and outer cylinder at P and Q respectively. Let V be velocity of center of intermediate cylinder and

_i be its
Velocity of A=velocity of P

V-R

_i=

R

Velocity of B=velocity of Q

V+R

_i=9

R

Solving V=5

R

_i = 4

trisha

Ask & Discuss Questions with Community & Experts