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6.System of Particles and Rotational Motion
medium
If $L, M$ and $P$ are the angular momentum, mass and linear momentum of a particle respectively which of the following represents the kinetic energy of the particle when the particle rotates in a circle of radius $R$
A
$\frac{{{L^2}}}{{2M}}$
B
$\frac{{{P^2}}}{{2MR}}$
C
$\frac{{{L^2}}}{{2M{R^2}}}$
D
$\frac{{MP}}{2}$
Solution
$K E=\left(M \times v^{2}\right) / 2$
$L=M \times v \times R$
$p=M \times v$
$K . E=p^{2} /(2 \times M)$
$K . E=L^{2} /\left(2 \times M \times R^{2}\right)$
Standard 11
Physics
