A light rod of length
L can revolve in a vertical circle around point
O. The rod carries two equal masses of mass
m each such that one mass is connected at the end of the rod and the second mass is fixed at the middle of the rod.
u is the velocity imparted to the end
P to deflect the rod to the horizontal position. Again mass
m in the middle of the rod is removed and mass at end
P is doubled. Now
v is the velocity imparted to end
P to deflect it to the horizontal position. Then
(uv)2 is