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Q.

The displacement of the point of a wheel initially in contact with the ground when the wheel rolls forward quarter revolution where perimeter of the wheel is 4π m, is (Assume the forward direction as x-axis)

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a

(π+2)2+4 along tan-12π with x - axis

b

(π-2)2+4 along tan-12π-2 with x - axis

c

(π-2)2+4 along tan-12π with x - axis

d

(π+2)2+4 along tan-12π-2 with x - axis

answer is B.

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Detailed Solution

S=y2+x2 and θ=tan-1yx
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The displacement of the point of a wheel initially in contact with the ground when the wheel rolls forward quarter revolution where perimeter of the wheel is 4π m, is (Assume the forward direction as x-axis)