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QAIPMT-2003-Ph-2735: NEET 2003 Physics - Class 11 AIPMT-2003-Ph-2735 Solution: A solid cylinder of mass M and radius R rolls without slipping…
A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom?
Multiple Choice Options
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- B
- C
- D
Step-by-Step Verified Solution
K.E. = 1 2 I _ 2 + 1 2 m v 2
K.E. = 1 2 ( 1 2 m r 2 ) _ 2 + 1 2 m v 2
= 1 4 m v 2 + 1 2 m v 2 = 3 4 m v 2
Now, gain in K.E. = Loss in P.E.
3 4 m v 2 = m g h _ v = ( 4 3 ) g h