First slide

Rolling motion

Question

A disc of mass m and radius R is rolling on horizontal ground with linear velocity v. What is the angular momentum of the disc about an axis passing through bottom most point and perpendicular to the plane of motion?

Moderate

A

$\frac{3}{2} m v R$
B

$m v R$
C

$\frac{1}{2} m v R$
D

$\frac{4}{3} m v R$

Solution

Angular momentum, $L = m v R + I_{C} ω = m v R + \frac{1}{2} m v R$
$= \frac{3}{2} m v R$

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