SATHEE: Rotational Motion Question 172

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

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

C) $\frac{L}{m r}$

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

Show Answer

Answer:

Correct Answer: A

Solution:

[a] From the relation, angular momentum,

$L = m v r$

$v = \frac{L}{m r}$

Centripetal force acting on the particle

$F = \frac{m v^{2}}{r} = \frac{m {(\frac{L}{m r})}^{2}}{r} = \frac{L^{2}}{m r^{3}}$

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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:

Answer:

Solution:

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