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Question

Question: A sphere is rolling on a frictionless surface as shown in Fig. with a translational velocity vms<sup...

A sphere is rolling on a frictionless surface as shown in Fig. with a translational velocity vms-1. If it is to climb the inclined surface then v should be

A

B

2gh\sqrt { 2 g h }

C

2gh

D

107gh\frac { 10 } { 7 } \mathrm { gh }

Answer

Explanation

Solution

12I2+12mv2mgh\frac { 1 } { 2 } \mathrm { I } ^ { 2 } + \frac { 1 } { 2 } \mathrm { mv } ^ { 2 } \geq \mathrm { mgh }

or

or v ≥