SATHEE: Rotational Motion Question 68

Rotational Motion Question 68

Question: The solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down without slipping. Which one will reach the bottom first?

[AIPMT (M) 2010]

Options:

A) Both together only when angle of inclination of plane is $45^{o}$

B) Both together

C) Hollow cylinder

D) Solid cylinder

Show Answer

Answer:

Correct Answer: D

Solution:

If a $t = \frac{1}{\sin θ} \sqrt{\frac{2 h}{g} (1 + \frac{k^{2}}{R^{2}})}$ solid and hollow body of same shape are allowed to roll down on inclined plane then as

${(\frac{k^{2}}{R^{2}})}_{s} < {(\frac{k^{2}}{R^{2}})}_{H},$ solid body will reach the bottom first with greater velocity.

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Rotational Motion Question 68

Question: The solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down without slipping. Which one will reach the bottom first?

Options:

Answer:

Solution:

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