First slide

Force

Question

A particle of mass m is circulating on a circle of radius r having angular momentum L about centre.
Then, the centripetal force will be

Easy

A

$\frac{L^{2}}{m r}$
B

$\frac{L^{2}}{m r^{2}}$
C

$\frac{L^{2}}{m r^{3}}$
D

$\frac{L}{m r^{2}}$

Solution

$L = m v r \Rightarrow v = \frac{L}{m r}$
$∴ F = \frac{m v^{2}}{r} = \frac{L^{2}}{m r^{3}}$

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