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A small object of uniform density rolls ...


A small object of uniform density rolls up a curved surface with an initial velocity `v`. It reaches up to a maximum height of `(3v^(2))/(4g)` with respect to the initial position. The object is
(a). Ring
(b). solid sphere
(c). hollow sphere
(d). disc

Text Solution

Verified by Experts

`(1)/(2)mv^(2)+(1)/(2)I((v)/(R))^(2)=mg((3v^(2))/(4g))`
`thereforeI=(1)/(2)mR^(2)`
`therefore` body is disc The correct option is (d).
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