(a)Prove that bodies starting at the same time t = 0 from the same point, and following frictionless slopes in different directions in the samevertical plane, all lie in a circle at any subsequent time. (b) Using the above result do the following problem. A point P lies above an inclined plane of inclination angle alpha. P is joined to the plane at number of points by smooth wires, running in all possible directions. Small bodies (in shape of beads) are released from P along all the wires simultaneously. Which body will take least time to reach the plane.

(a)Prove that bodies starting at the same time t = 0 from the same poi

1.	(a)Prove that bodies starting at the same time t = 0 from the same point, and following frictionless slopes in different directions in the samevertical plane, all lie in a circle at any subsequent time. (b) Using the above result do the following problem. A point P lies above an inclined plane of inclination angle alpha. P is joined to the plane at number of points by smooth wires, running in all possible directions. Small bodies (in shape of beads) are released from P along all the wires simultaneously. Which body will take least time to reach the plane.
Answer» Answer :(b) Body TRAVELLING ALONG a line making an ANGLE `(alpha)/(2)` with vertical