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
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
View Solution FreeMore Rotational Motion Questions
The moment of inertia of a thin uniform rod of mass M and length l about an axis perpendicular to the rod, through its c...Two points masses of 0.3 kg and 0.7 kg are fixed at the end of the rod of length 1.4 cm and of negligible mass. The rod ...A rotating table completes one rotation is 10 sec. and its moment of ineratia is 100 kg-m2. A person of 50 kg. mass stan...The moment of inertia of semicircular plate of radius R and mass M about axis AA′ in its plane passing through its...The moment of inertia in rotational motion is equivalent to : -...