With what minimum speed `v` must a small ball should be pushed inside a smooth vertical tube from a heoght `h` so that it may reach the top of the tube? Radius of the tube is `R` .

With what minimum speed v must be small ball be pushed inside a smooth vertical tube from a height h so that it may reach the top of the tube?

A ball is released from top of the smooth vertical, when i just leaves the contract form inner surface of the tube

A ball is released from top of the smooth vertical, when i just leaves the contract form inner surface of the tube

A small ball of mass m is released in a smooth circular tube as shown in figure. The minimum height h such that bead can complete the circle is

A small ball is pushed from a height h along a smooth hemispherical bowl of radius R. With what speed should the ball be pushed so that it just reaches the top of the opposite end of the bowl?

A small ball is pushed from a height h along a smooth hemispherical bowl of rodius R. With what speed should the ball be pushed so that it just reaches the top of the opposite end of the bowl?

A smooth circular tube is held in a vertical position. A small ball which is free to slide inside the tube is held stationary at the highest position in the tube. If the ball is slightly displaced from its position of rest, show that the force exerted by the ball on the wall of the tube is given as mg(3 costheta-2) , where m is the mass of the ball and theta is the angular displacement from highest position. Upto what value of theta , this result will remain valid.

A large mass M and a small mass m hang at the two ends of string passing through a smooth tube. The mass m moves around in a circular path in a horizontal plane. The length of the string from the mass m to the top of the tube of the tube is l and theta is the angle this length makes with the vertical. What should be the frequency of rotation of the mass m so that M remains stationary ?

In a vertical smooth hollow thin tube, a block of same mass as that of tube is released as shown. When it is slightly disturbed it moves towards right. By the time the block reaches the right end of the tube, the displacement of the tube will be (where ‘R’ is the mean radius of tube, assume that the tube remains in vertical plane).