An annular disk of mass M, inner radius a and outer radius b is placed on a horizontal surface with coefficient of friction 
, as shown in the figure. At some time, an impulse 
is applied at a height h above the center of the disk. If h = h m then the disk rolls without slipping along the x-axis. Which of the following statement(s) is(are) correct ?
and 
and 
, the initial angular velocity does not depend on the inner radius a.
= 0 and h = 0, the wheel always slides without rolling.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(a,b,c,d)
J 0 = mv.....(1)
J 0 h ra = I c 
......(2)
v = 
R.......(3)
If a = 0 
& 
If a = b I c = mb 2 & R = b 
h m = b
Force is acting on COM 
No rotation.
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