Prove that for motion "looping the loop" the body should be dropped from a vertical height `gt5/2r` where r = radius of the loop.

In looping the loop problem the highest through which the body falls is related to the radius of loop by h=__________

Discuss the circular motion of a body in a vertical plane and show that to complete the motion it's velocity must be greater than sqrt(5gr) where r = radius of the circle.

A small ball was released from rest from a point on a friction less track which ends in a loop in the form of a circle of radius 20 cm. What is the minimum verticle height of the point release so that the ball can remain in contact with the loop as it moves along it?

Prove the net acceleration oversettoa of the body is oversettoa=oversettoa_r + oversettoa_t where oversettoa_t=oversettoalphaxxoversettor and oversettoa_r=oversettowxxoversettov

A half kg weight is tied to one end of a metal wire of length 0.6 m . By holding the other end in the hand, the wire is whirled in a vertical and has an angular velocity of 2 r.p.s. at bottom of the circle. What is the elongation of the wire at the lowest point ? Area of cross-section of the wire = 5 x 10 ^(-6) m^2 . Y for steel = 2 x 10^10 N/m^2 .