JEE Advanced2017PhysicsRotational MotionActual
Consider regular polygons with number of sides n = 3,4 , 5 … as 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 Δ . Then, Δ depends on n and h as
Options
- AΔ = h sin 2 π n
- BΔ = h sin 2 π n
- CΔ = h 1 cos π n - 1
- DΔ = h tan 2 π 2 n
Correct answer
C. Δ = h 1 cos π n - 1
Step-by-step solution
O A = h O B = h cos π n Initial height of C O M = h Final height of C O M = h cos π n ∴ Δ = h cos π n - h Δ = h 1 cos π n - 1