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Question

The displacement of the point of the wheel initially in contact with the ground, when the wheel rolls forward half a revolution will be (radius of the wheel is R)

A
Rπ2+1
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B
Rπ2+4
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C
2 π R
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D
π R
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Solution

The correct option is B Rπ2+4

Horizontal distance covered by the wheel in half revolution =π R
So, displacement of the point which was initially in contact with the ground =(πR)2+(2R)2=Rπ2+4

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