JEE (Advanced) 2017 Paper-2 Question 2

Question 2

Consider regular polygons with number of sides n=3,4, shown in the figure. The center 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 center of mass for each polygon is $$\triangle$$. Then $$\triangle$$ depends on n and has

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