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

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

Both together

Both together when angle of inclination is 45⁰

Hollow cylinder

Solid cylinder

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The linear acceleration of the body will be $\frac{gsinθ}{(1 + \frac{K^{2}}{R^{2}})}$

and the length of the incline is $\frac{h}{sinθ}$

$\Rightarrow t = \sqrt{\frac{2 l (1 + \frac{K^{2}}{R^{2}})}{{gsin}^{2} θ}}$

for Solid cylinder $\frac{K^{2}}{R^{2}} = 1 / 2$ , for hollow cylinder $\frac{K^{2}}{R^{2}} = 1$

So we can say that the Solid cylinder will reach first.

Watch 3-min video & get full concept clarity