Question

A spherical shell of 1 kg mass and radius R is rolling with angular speed ω on horizontal plane (as shown in figure). The magnitude of angular momentum of the shell about the origin O is $\frac{a}{3}R^2w$. The value of a will be

• A. 2
• B. 3
• C. 5
• D. 4

Answer 1

Answer: (C)

5

Answer 2

The correct option is(C): 5.

$L_o=L_{of\,cm}+L_{about\, cm}$

$⇒\frac{a}{3}R^3=mvR+\frac{2}{3}mR^2w=\frac{5}{3}mR^2w$

⇒ a = 5