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MHT CET 2024 (3 May, Shift 2) · Angular Variables

Angular Variables question from MHT CET 2024 (3 May, Shift 2)

Q20MHT CET 2024 · 3 MAY · SHIFT 2Difficult

Angular Variables

A wheel of radius 1 m rolls through 180∘180^\circ over a plane surface. The magnitude of the displacement of the point of the wheel initially in contact with the surface is.

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Answer: (c)

  1. Rolling through 180∘180^\circ moves the centre forward by πR=π\pi R = \pi m.
  2. The contact point goes from the bottom to the top: it rises 2R=22R = 2 m.
  3. Displacement =π2+22=π2+4= \sqrt{\pi^2 + 2^2} = \sqrt{\pi^2 + 4} m.
  4. So the answer is (c) π2+4\sqrt{\pi^2 + 4}.
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