First slide

Force

Question

If the angular momentum of a body of mass 'm' rotating in a circle of radius 'r' is 'L' then the centripetal force on it is

Easy

A

L/mr
B

$L^{2} / m r^{2}$
C

$L^{2} / m r^{3}$
D

$L^{2} r^{2} / m$

Solution

L = mvr
$v = \frac{L}{m r}$
Centripetal force is $= \frac{m v^{2}}{r} = \frac{m}{r} \frac{L^{2}}{m^{2} r^{2}}$
$= \frac{L^{2}}{m r^{3}}$

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