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QJEEM21Phd1ba: JEE Main 2021 Physics - Class 11 JEEM21Phd1ba Solution: Consider a badminton racket with length scales as shown in the…

Consider a badminton racket with length scales as shown in the figure.

JEE Main 2021 (Online) 26th August Morning Shift Physics - Rotational Motion Question 87 English
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, r2{r \over 2} distance from the end A of the handle will be ................ Mr2.

Step-by-Step Verified Solution

JEE Main 2021 (Online) 26th August Morning Shift Physics - Rotational Motion Question 87 English Explanation
I=[I1+M(52r)2]+[I2+M(13r2)2]I = \left[ {{I_1} + M{{\left( {{5 \over 2}r} \right)}^2}} \right] + \left[ {{I_2} + M{{\left( {{{13r} \over 2}} \right)}^2}} \right]

=[M(36r2)12+M(25r2)4]+[Mr22+169Mr24]= \left[ {{{M(36{r^2})} \over {12}} + {{M(25{r^2})} \over 4}} \right] + \left[ {{{M{r^2}} \over 2} + {{169M{r^2}} \over 4}} \right]

= 52 Mr2

Ans. 52.00

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