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Distance

The displacem...

Question

The displacement of the point of a wheel initially in contact with the ground when the wheel rolls forward half a revolution where radius of the wheel is $1 m$ , is (Assume the forward direction as x-axis).

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Solution

Given
Radius $= 1 m$

Solution
After half revolution, distance covered $A C = π m$
Point $A$ moves to point $B$
$∴$ Displacement $A B = \sqrt{x^{2} + 4}$

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