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A disc of radius R and mass M is rolling...

A disc of radius `R` and mass `M` is rolling horizontally without slipping with speed with speed `v`. It then moves up an incline as shown in figure. The maximum height upto which it can reach is.
.

A

`v^2//g`

B

`v^2//2 g`

C

`v^2//3 g`

D

`3 v^2//4 g`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `(1)/(2) Mv^2 + (1)/(2) I omega^2 = Mgh`
`rArr (1)/(2) Mv^2 + (1)/(2)(1)/(2) MR^2 ((v)/(R ))^2 = Mgh rArr h = (3 v^2)/(4 g)`.
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Knowledge Check

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