Download the app

Questions  

A solid sphere of mass m is lying at rest on a rough horizontal surface. The coefficient of friction between the ground and sphere is μ. The maximum value of F, so that the sphere will not slip, is equal to

a
75μmg
b
47μmg
c
57μmg
d
72μmg

detailed solution

Correct option is D

As sphere is rolling we can apply torque equation about point of contact (about P).FR=IPα⇒ FR=75MR2α⇒ Rα=5F7M=aEquation of translatory motionF−f=Ma⇒f=27F   ………(i)For no sliding, f≤μmg ⇒ F=72μmg

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force.  Assuming rolling without slipping, angular acceleration of the cylinder is


phone icon
whats app icon