Centre of Mass 1 Question 6

6. Consider regular polygons with number of sides n=3,4,5 as shown in the figure. The centre of mass of all the polygons is at height h 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 centre of mass for each each polygon is Δ. Then, Δ depends on n and h as

(2017 Adv.)

(a) Δ=hsin2πn

(b) Δ=hsin2πn

(c) Δ=htan2π2n

(d) Δ=h1cosπn1

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Answer:

Correct Answer: 6. (d)

Solution:

cosπn=hR



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