Rotational MotionMedium
Question
An impulsive force F acts horizontally on a solid sphere of radius R placed on a horizontal surface. The line of action of the impulsive force is at a height h above the centre of the sphere. If the rotational and translational kinetic energies of the sphere just after the impulse are equal, then the value of h will be -
Options
A.
R
RB.
R
RC.
R
RD.None of these
Solution
Ft = Mv ; Fhᐃ ; t = Iω ⇒ Mvh = Iω = 
MR2ω Also. 
Mv2 = 
Iω2 = MR2ω2 ⇒ h = 
R
MR2ω Also. Mv2 = Iω2 = MR2ω2 ⇒ h = R Create a free account to view solution
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