JEE Main 2022 · 29 Jun · Shift 1 · Physics Q34

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PhysicsSingle correct+4 / -1Question 34 of 90

A spherical shell of 1 kg mass and radius R is rolling with angular speed $\omega$ on horizontal plane (as shown in figure). The magnitude of angular momentum of the shell about the origin O is $\dfrac a3R^2\omega$ . The value of a will be :

A spherical shell of radius R rolling on the x-axis with angular speed ω (clockwise), with the origin O at the left and the y-axis vertical.

Answer and worked solution

Official answer: C

About O. Spin part $\frac23mR^2\omega$ plus orbital part $mvR=mR^2\omega$ (same sense): $\frac53R^2\omega$ , so $a=5$ .

(C)

Topics:Angular momentum and its conservation Rolling motion

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JEE Main 2022 · 29 Jun · Shift 1, Physics question 34