Rotation 3 Question 20
26. Two identical uniform discs roll without slipping on two different surfaces and (see figure) starting at and with linear speeds and , respectively, and always remain in contact with the surfaces. If they reach and with the same linear speed and , then in is
(2015 Adv.)
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Answer:
Correct Answer: 26. 7
Solution:
- In case of pure rolling, mechanical energy remains constant (as work-done by friction is zero). Further in case of a disc,
or,
or, Total kinetic energy
Decrease in potential energy =increase in kinetic energy
or,
As final velocity in both cases is same.
So, value of
Solving this equation, we get