0

One end of a uniform rod of mass m and length l is supported by a frictionless hinge which can withstand a tension of (1.75mg). the rod is free to rotate in a vertical plane. To what maximum angle should the rod be rotated from the vertical position so that when left the hinge does not break? Answer is is $\cos(\theta)$ = $\frac{1}{2}$. Why can not this question be solved using centre of mass concept?

John Rennie
  • 367,598
Shikhar Chamoli
  • 187

1 Answers1

1

Why not? Loss of potential energy (measured at C.M.) goes to rotational K.E.(about axle). At bottom of swing, force from the hinge – weight, causes the centripetal acceleration of the C.M.

R.W. Bird
  • 12,280