JEE Main202126 Aug 2021Morning ShiftPhysicsRotational MotionActual
Consider a badminton racket with length scales as shown in the figure. If the mass of the linear and circular portions of the badminton racket are same ( M ) and the mass of the threads are negligible, the moment of inertia of the racket about an axis perpendicular to the handle and in the plane of the ring at, r 2 distance from the end A of the handle will be ______ M r 2 .
Correct answer
0
Step-by-step solution
I A = M r 2 2 + M 7 r − r 2 2 + M ( 6 r ) 2 12 + M 3 r − r 2 2 = M r 2 2 + M ( 169 ) r 2 4 + 3 M r 2 + 25 M r 2 4 = 171 M r 2 4 + 37 M r 2 4 = 208 4 M r 2 = 52 M r 2