cylinder and a wedge with a vertical face, touching each other, move along two smooth inclined planes forming the same angle `alpha` with the horizontal (Fig. ). The masses of the cylinder and the wedge are `m_(1)` and `m_(2)` respectively. Determine the force of normal pressure N exerted by the wedge on the cylinder, neglecting the friction between them.

A solid cylinder of mass m rolls without slipping down an inclined plane making an angle theta with the horizontal. The frictional force between the cylinder and the incline is

A cylinder of mass m and radius r rests on two supports of the same height (Fig. ). One support is stationary, while the other slides from under the cylinder at a velocity v. Determine the force of normal pressure N exerted by the cylinder on the stationary support at the moment when the distance between points A and B of the supports is Ab = r sqrt(2) , assuming that the supports wery very close to each other at the initial instant. The friction between the cylinder and the supports should be neglected.

A block of mass m is placed on a smooth wedge of inclination. The whole system is accelerated horizontally so that block does not slip on the wedge Find the i) Acceleration of the wedge Force to be applied on the wedge Force exerted by the wedge on the block .

A wedge is placed on the smooth surface of a fixed incline having inclination theta with the horizontal. The vertical wall of the wedge has height h and there is a small block A on the edge of the horizontal surface of the wedge. Mass of the wedge and the small block are M and m respectively. (a) Find the acceleration of the wedge if friction between block A and the wedge is large enough to prevent slipping between the two. (b) Find friction force between the block and the wedge in the above case. Also find the normal force between the two. (c) Assuming there is no friction between the block and the wedge, calculate the time in which the block will hit the incline.

In the figure heavy mass m moves down the smooth surface of a wedge making an angle alpha with the horizontal. The wedge at rest t =0 is on a smooth surface. The mass of the wedge is M the direaction of motion of the mass m makes an angle beta with the horizontal then, "Tan" beta is .

A block of mass m is placed on a smooth wedge of inclination Q. The whole system is accelerated horizontally so that the block does not slip on the wedge. Find the i) Acceleration of the wedge ii) Force to be applied on the wedge iii) Force exerted by the wedge on the block.