Question

A mass m is tied to an elatic band of length l and whirled in a vertical circle.The angular speed of the mass at the lowest point of the path is ω. If Y be Young’s modulus, calculate elongation at this point.

Answer 1

Let x be the elongation. Using dynamics of circular motion mω ² (l + x) = T – mg

T = mω ² (l + x) + mg ...(i)

From(i) and (ii),