First slide

Angular momentum

Question

A particle of mass m is moving in a plane along a circular path of radius r. Its angular momentum about the axis of rotation is L. The centripetal force acting on the particle is

Easy

A

L² /m r
B

L² m/r
C

L²/m r³
D

L² /m r²

Solution

L=mv r or v=L/ m r
$Centripetal force = \frac{{mv}^{2}}{r} = \frac{m (L / mr)^{2}}{r}$
$= \frac{L^{2}}{{mr}^{3}}$

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