Question 154: 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 $${a \over 3}$$ R2$$\omega$$. 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

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5

Answer

4

Centre of Mass and Rotational Motion

A spherical shell of 1 kg mass and radius R is rolling with angular speed $\omega on horizontal plane (as shown in figure). The magnitude of angular momentum of the shell about the origin O is {a \over 3} R2\omega$. The value of a will be :

Choose the correct answer: