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Rotational Motion question

2017 · Shift 2 · Q44
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Rotational Motion question

2017 · Shift 2 · Q44

JEE AdvancedPhysicsRotational MotionMCQ+3 / −0.75
Consider regular polygons with number of sides n=3,4,5....n=3,4,5....n=3,4,5.... as shown in the figure. The center of mass of all the polygons is at height hhh from the ground. They roll on a horizontal surface about the leading vertex without slipping and sliding as depicted. The maximum increase in height of the locus of the center of mass for each polygon is Δ\DeltaΔ. Then Δ\DeltaΔ depends on nnn and hhh as JEE Advanced 2017 Paper 2 Offline Physics - Rotational Motion Question 47 English
  1. A
    Δ=hsin⁡2(πn)\Delta = h{\sin ^2}\left( {{\pi \over n}} \right)Δ=hsin2(nπ​)
  2. B
    Δ=h(1cos⁡(πn)−1)\Delta = h\left( {{1 \over {\cos \left( {{\pi \over n}} \right)}} - 1} \right)Δ=h(cos(nπ​)1​−1)
  3. C
    Δ=hsin⁡(2πn)\Delta = h\sin \left( {{{2\pi } \over n}} \right)Δ=hsin(n2π​)
  4. D
    Δ=h tan⁡2(π2n)\Delta = h\,{\tan ^2}\left( {{\pi \over {2n}}} \right)Δ=htan2(2nπ​)
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