JEE Main20245 Apr 2024Evening ShiftPhysicsRotational MotionActual
A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of rotational kinetic energy to its total kinetic energy is x 5 . The value of x is _____ .
Correct answer
0
Step-by-step solution
aligned & 1 2 I ^2 1 2 I ^2+ 1 2 mv ^2 = ( 1 2 ) ( 2 3 mR ^2 ) ^2 ( 1 2 ) ( 2 3 mR ^2 ) ^2+ 1 2 ~m ( R )^2 & = 2 3 2 3 +1 = 2 5 & x =2 aligned