In th efigure shown in fig. `10.33` , a bob attached with a light string of radius `R` is given as initial velocity `u=sqrt(4gR)` at the bottommost point.
(a) At what height string will slack.
(b) What is velocity of the bob just befare slacking of string.

The maximum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l.

The maximum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l.

The bob rotates in a circular path ,if u=sqrt(7gR) then lt (a) What is the velocity at topmost point? (b) What is tension at topmost point? (c) What is tension at bottommost point?

A small ball is attached to an end of a light string of length R. It is suspended in vertical plane supported at point A. B and C are two nails (of negligible thickness) at a horizontal distance 0.3 R from A and a vertical distance 0.4 R above A respectively. The ball is given a horizontal velocity u = sqrt5gR) at its lowest point. Subsequently, after the string hitting the nails, the nails become the centre of rotation. Assume no loss in kinetic energy when the string hits the nails. It is known that the string will break if tension in it is suddenly increased by 200% or more. Will the string break during the motion? If yes, where? What is tension in the string at the instant the string breaks?

A bob of mass m is suspended by a light string of length L. It is imparted a horizontal velocity v_(o) at the lowest point A such that it completes a semi-circular trajectory in the vertical plane with the string becoming slack only on reaching the topmost point, C. This is shown in Fig. 6.6. Obtain an expression for The speeds at points B and C.