JEE MAIN - Physics (2021 - 26th August Morning Shift - No. 28)
Consider a badminton racket with length scales as shown in the figure.
_26th_August_Morning_Shift_en_28_1.png)
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, $${r \over 2}$$ distance from the end A of the handle will be ................ Mr2.
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, $${r \over 2}$$ distance from the end A of the handle will be ................ Mr2.
Answer
52
Explanation
_26th_August_Morning_Shift_en_28_2.png)
$$I = \left[ {{I_1} + M{{\left( {{5 \over 2}r} \right)}^2}} \right] + \left[ {{I_2} + M{{\left( {{{13r} \over 2}} \right)}^2}} \right]$$
$$ = \left[ {{{M(36{r^2})} \over {12}} + {{M(25{r^2})} \over 4}} \right] + \left[ {{{M{r^2}} \over 2} + {{169M{r^2}} \over 4}} \right]$$
= 52 Mr2
Ans. 52.00
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