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 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 block has been placed on an inclined plane . The slope angle of theta of the plane is such that the block slides down the plane at a constant speed . The coefficient of kinetic friction is equal to :

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 gradually increased.If mu is the coefficient of friction. Then the cylinder will slide before toppling if mu<(Nr)/(hP) . Then the value of N+P is?

A piece of ice slides down a rough inclined plane at 45^(@) inclination in twice the time that it takes to slide down an identical but frictionless inclined plane. What is the coefficient of friction between ice and incline ?

A block moves down a smooth inclined plane of inclination theta . Its velocity on reaching the bottom is v. If it slides down a rough inclined plane of some inclination, its velocity on reaching the bottom is v/n, where n is a number greater than 0. The coefficient of friction is given by -

A block takes a twice as much time to slide down a 45^(@) rough inclined plane as it takes to slide down a similar smooth , plane . The coefficient of friction is :

A body weighing 20 kg just slides down a rough inclined plane that rises 5 in 12. The coefficient of friction is