An inclined plane is bent in such a way that the cross-section is given by y=`(x^(2))/(4)` where y is in vertical and x in horizontal direction.If the upper surface of this curved plane is rough " with coefficient of friction `mu`=0.5 ,the maximum height in "cm" at which a stationary block will not slip downward is

A block of mass is placed on a surface with a vertical cross section given by y=x^3/6 . If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is:

A block of mass is placed on a surface with a vertical cross section given by y=x^3/6 . If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is:

A block of mass is placed on a surface with a vertical cross section given by y=x^3/6 . If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is:

A block of mass m kept on rough horizontal turn table at a distance x from the centre. If the coefficient of friction between the table and block is mu then maximum speed of point P on turn table so that the block does not slip is

A block of mass m is kept on horizontal turn table at x distance from the centre. If coefficient of friction between block and surface of turn table is mu , then maximum angular speed of the table so that block does not slip

A small back starts slipping down from a point B on an inclined plane AB, which is making an angle theta with the remaining section CA is rough with a coefficient of friction mu . It is found that bottom (point A) of the inclined plane. If BC = 2AC, the coefficient of friction is given by mu = K "tan" theta The value of K is ________.

A block slides down a curved frictionless track and then up an inclined plane as in figure. The coefficient of kinetic friction between the block and incline is mu_k . Find the maximum height reached by the block.

A prismatic block of mass m is kept on a groove . The bottom line of the groove makes an angle theta with horizontal . The angle between the flat surface 1 and 2 making the groove is phi If the groove is symmetrical with the normal to the inclined plane containing the bottom line of the groove a. Find the coefficient of friction mu_(0) between the block and groove so that the block begins to slide. b. If mu gt mu_(0) find the friction force on the block. c. If mu lt mu_(0) find the acceleration of the block.

A block is kept on a rough horizontal surface as shown. Its mass is 2 kg and coefficient of friction between block and surface (mu)=0.5. A horizontal force F is acting on the block. When

A small block starts sliding down an inclined plane subtending an angle theta with the horizontal . The coefficient of friction between the block and plane depends on the distance covered from rest along the plane as mu = mu_(0)x where mu_(0) is a constant . Find (a) the distance covered by the block down the plane till it stops sliding and (b) its maximum velocity during this journey .