A smooth semicircular tube AB of radius r is fixed in a vertical plane and contains a heavy flexible chain of length `pir` and weight `Wpir` as shown. Assuming a slight disturbance to start the chain in motion, the velocity v with it will emerge from the open end B of the tube is:

A uniform chain of length of length pir lies inside a smooth semicircular tube (AB) of radius f. Assuming a slight disturbance to start the chain in motion, the velocity it will emerge from the end (B) of the tube will be

A uniform chain of length of length pir lies inside a smooth semicircular tube (AB) of radius f. Assuming a slight disturbance to start the chain in motion, the velocity it will emerge from the end (B) of the tube will be

A heavy flexible uniform chain of length pi r and mass lambda pi r lies in a smooth semicircular tube AB of radius 'r'. Assuming a slight disturbane to start the chain in motion, find the velocity v with which it will emerge from the end of the tube?

A smooth circular tube of radius R is fixed in a vertical plane. A particle is projectid from its lowest point with a velocity just sufficient to carry it to th ehigest point. Show that the time taken by the particle to rach the end of the horizontal diameter is (sqrt(R)/(g))In(1+sqrt(2)) . Hint : intsectheta.dtheta=In(sectheta+tantheta)

A smooth circular tube of radius R is fixed in a vertical plane. A particle is projectid from its lowest point with a velocity just sufficient to carry it to th ehigest point. Show that the time taken by the particle to rach the end of the horizontal diameter is (sqrt(R)/(g))In(1+sqrt(2)) . Hint : intsectheta.dtheta=In(sectheta+tantheta)

A chain of length l lt (piR)/(2) is placed on a smooth surface whose some part is horizontal and some part is on quarter circular of radius R in the vertical plane as shown. Initially the whole part of chain lies in the circular part with one end at topmost point of circular surface. If the mass of chain is m, then work required to pull very slowly the whole chain on horizontal part is -

A chain of length l lt (piR)/(2) is placed on a smooth surface whose some part is horizontal and some part is on quarter circular of radius R in the vertical plane as shown. Initially the whole part of chain lies in the circular part with one end at topmost point of circular surface. If the mass of chain is m, then work required to pull very slowly the whole chain on horizontal part is -

On a horizontal smooth plane there is a fixed vertical cylinder and a particle A connected to the cylinder by a thread AB. The particle is set in motion with the initial velocity v as shown in the figure. Is there any fixed point relative to which the angular momentum of the particle is constant in the process of motion?

A chain AB of length equal to the quarter of a circle of radius R is placed on a smooth hemisphere as shown in figure -3.66. When it is released, it starts falling. Find the velocity of the chain when it falls of the end B from the hemisphere.