Rotational Motion Question 172
Question: If the angular momentum of a particle of mass m rotating along a circular path of radius r with uniform speed is L, the centripetal force acting on the particle is
Options:
A) $\frac{L^{2}}{mr^{2}}$
B) $\frac{L^{2}}{mr}$
C) $\frac{L}{mr}$
D) $\frac{L^{2}m}{r}$
Show Answer
Answer:
Correct Answer: A
Solution:
[a] From the relation, angular momentum,
$L=mvr$
$v=\frac{L}{mr}$
Centripetal force acting on the particle
$F=\frac{mv^{2}}{r}=\frac{m{{\left( \frac{L}{mr} \right)}^{2}}}{r}=\frac{L^{2}}{mr^{3}}$
