Question 149: Centre of Mass and Rotational Motion

Question

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 ${a \over 3}$ R
2
$\omega$. The value of a will be :

Accepted Answer

${\overrightarrow L _0} = {\overrightarrow L _{of\,cm}} + {\overrightarrow L _{about\,cm}}$
$ \Rightarrow {a \over 3}{R^2}\omega  = mvR + {2 \over 3}m{R^2}\omega  = {5 \over 3}m{R^2}\omega $
$ \Rightarrow a = 5$

Answer

2

Answer

3

Answer

5

Answer

4

Centre of Mass and Rotational Motion

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 {a \over 3} R 2 \omega. The value of a will be :

Choose the correct answer: