For a given height h, ________ the length 1 of the inclined plane, lesser will be the effort required.

A particle of mass m is given initial horizontal velocity of magnitude u as shown in the figure. It transfers to the fixed inclined plane without a jump, that is, its trajectory changes sharply from the horizontal line to the inclined line. All the surfaces are smooth and 90^(@) ge theta gt 0^(@) . Then the height to which the particle shall rise on the inclined plane (assume the length of the inclined plane to be very large)

A particle of mass m is given initial horizontal velocity of magnitude u as shown in the figure. It transfers to the fixed inclined plane without a jump, that is, its trajectory changes sharply from the horizontal line to the inclined line. All the surfaces are smooth adn 90^(@) ge theta gt 0^(@) . Then the height to which the particle shamm rise on the inclined plane (assume the length of the inclined plane to be very large)

A smooth ball is released from rest from a height h as shown in figure. It slides down the first inclined plane and collides with the second inclined plane. a. If e = 0 , find the speed of the ball just after leaving the inclined plane 1. b. If the particle mioves horizontally just after the collision find e .

A body of mass m is kept on an inclined plane . The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. If the coefficient of friction is mu , what is the inclination of the plane ?

A cannon of mass 1000 kg located at the base of an inclined plane fires a shell of mass 50 kg in horizontal direction with velocity 180 km//h . The angle of inclination of the inclined plane with the horizontal is 45^(@) . The coefficient of friction between the cannon and inclined plane is 0.5 . The maximum height, in metre, to which the cannon can ascend the inclined plane as a result of recoil is

The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. The coefficient of friction is mu . If theta is the angle of inclination of the plane than tan theta is equal to

The force F_(1) required to just moving a body up an inclined plane is double the force F_(2) required to just prevent the body from sliding down the plane. The coefficient of friction is mu . The inclination theta of the plane is :

A ball starts falling freely from a height h from a point on the inclined plane forming an angle alpha with the horizontal as shown. After collision with the incline it rebounds elastically off the plane. Then it again strikes the incline at

A particle of mass m is projected up from the bottom of an inclined plane with initial velocity v_(0) at angle 45^(@) with an inclined plane of inclination 30^(@) as shown in figure. At the same time a small block of same mass m is released from rest at a height h , the particle hits the block at some point on the inclined plane. Neglect friction at inclined. Q. The value of height h is

For a given velocity of projection from a point on the inclined plane, the maximum range down the plane is three times the maximum range up the incline. Then find the angle of inclination of the inclined plane.