Rotational MotionHard
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
B.
R
C.
R
D.None of these
Solution
Ft = Mv ; Fhᐃ ; t = Iω ⇒ Mvh = Iω =
MR2ω Also.
Mv2 =
Iω2 = MR2ω2 ⇒ h =
R
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