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, $\frac{r}{2}$ distance from the end $A$ of the handle will be ______ $M r^{2}$ .

Question

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, $\frac{r}{2}$ distance from the end $A$ of the handle will be ______ $M r^{2}$ .

Aicharya · Accepted Answer

I A = M r 2 2 + M 7 r &#8722; r 2 2 + M ( 6 r ) 2 12 + M 3 r &#8722; 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

Consider a badminton racket with length scales as shown in the figure. If the mass of the linear and…

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