See image — AITS & Test Series Chemistry Question

💡 Solution & Explanation

The stresses are zero at the free end and maximum at the axis. Therefore, the rod will ruptures at the middle. Let us consider the element of rod at a distance x from the axis, the mass of element dm Adx   Applying Newton’s second law,     2 F F dF Adx x      Where  is the rotation speed. 2 2 2 x F dF A C      Rupture of rod will occur when f   2 2 8 l     2 2 8 1 8 2 n l l          