A uniform cone of half angle `phi` stands on a rough inclined plane. Show that as the inclination of the plane is increased the cone will slide down before it topples over if the coefficient of friction is less than 4 tan `phi`.

A block is placed on an inclined plane. The angle of inclination of the plane is such that the block slides down the plane at a constant speed. The coefficient of kinetic friction is

A block of mass 5 kg is placed on a rough inclined plane. The inclination of the plane is gradually increased till the block just begins to slide down. The inclination of the plane is than 3 in 5. The coefficient of friction between the block and the plane is (Take, g = 10m//s^(2) )

A block of mass 5 kg is placed on a rough inclined plane. The inclination of the plane is gradually increased till the block just begins to slide down. The inclination of the plane is than 3 in 5. The coefficient of friction between the block and the plane is (Take, g = 10m//s^(2) )

A uniform cylinder of height h and radius r is placed with its circular face on a rough inclined plane and the inclination of the plane to the horizontal is gradually increased. If mu is the coefficient of friction, then under what condition the cylinder will (a) slide before toppling (b) topple before sliding.

A uniform cylinder of height h and radius r is placed with its circular face on a rough inclined plane and the inclination of the plane to the horizontal is gradually increased. If mu is the coefficient of friction, then under what condition the cylinder will (a) slide before toppling (b) topple before sliding.

A cube is resting on an inclined plane and the angle fo inclination is gradually increased.For what angles will the cube slide before toppling?