First slide

Angular momentum

Question

A hollow sphere of mass 'M' and radius 'R' is rolling on horizontal surface with speed 'V'. Find the angular momentum of sphere about point of contact on surface.

Moderate

A

$\frac{2}{5} MVR$
B

$\frac{5}{3} MVR$
C

$\frac{7}{3} MVR$
D

$\frac{7}{5} MVR$

Solution

$L = MVR + (\frac{2}{3} {MR}^{2}) (\frac{V}{R})$
$= \frac{5}{3} MVR$

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