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Two identical solid cylinders run a race...

Two identical solid cylinders run a race starting from rest at the top of an inclined plane. If one cylinder slides and the other rolls :

A

Sliding cylinder will reach the bottom first with greater speed.

B

Rolling cylinder will reach the bottom first with greater speed.

C

Both will reach the bottom simultaneously with the same speed.

D

Both will reach the bottom simultaneously but with different speeds.

Text Solution

Verified by Experts

The correct Answer is:
A
for sliding cylinder `a_("slide") = g sin theta`
for rolling cylinder
`a_("roll")=(g sin theta)/(1+(1)/(2))=(2)/(3) g sin theta `
Hence (1)
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