When a body is hung from a string. It does not snap. But when the same mass is set into rotation along a horizontal path at high speed holding the other end of the string. The string snaps. What is the reason?

When a body is hung from a string. It does not snap. But when the same

1.	When a body is hung from a string. It does not snap. But when the same mass is set into rotation along a horizontal path at high speed holding the other end of the string. The string snaps. What is the reason?
Answer» Solution :If the mass of the body is m, then in the first CASE , TENSION in the string, T.= mg…(1) Let the length of the thread be l, linear velocity of the body be v, and tension in the thread beT, when the body is rotated in the horizontal PLANE. Required centripetal force for revolution, ` (mv^(2))/(l sin theta) = T sin theta""`...(2) Also,mg = T COS`theta""` ...(3) From EQUATIONS (1) and (3) we get, T. = T cos `theta` `therefore "" 0 le theta lt (pi)/(2)` `therefore "" 0 lt cos theta le 1 "" therefore T. lt T` So, tension in the thread is greater in the second case than that in the first case, and hence, in the first case though the thread does not snap, in the second case the thread my snap.