A point P initially at the contact point of a wheel of radius 1 m rolls without slipping. What is the magnitude of the displacement of P after the wheel completes half a revolution?
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A point P initially at the contact point of a wheel of radius 1 m rolls without slipping. What is the magnitude of the displacement of P after the wheel completes half a revolution?

G1 Physics · Accepted Answer

Step 1: In half a revolution the wheel centre moves πR=π m. Step 2: P starts at ground contact and ends at the top of the wheel, 2R=2 m higher than its initial point. Step 3: Displacement magnitude=√[π²+2²]=√(π²+4) m. Final answer: B — √(π²+4) m.