A block of mass m attached with a an ideal spring of force constant k is placed on a rough inclined plane having inclination `theta` with the horizontal and coefficient of friction `mu=1//2 tan theta`, Initially the block is held stationary with the spring in its relaxed state, find the maximum extension in the spring if the block is released.

A block of mass m moves with constant speed down the inclined plane of inclination theta . Find the coefficient of kinetic friction.

A block of mass m is placed on a smooth inclined plane of inclination theta with the horizontal. The force exerted by the plane on the block has a magnitude

A block of mass m is attached with a massless spring of force constant k . The block is placed over a fixed rought inclined surface for which the coefficient of friction is mu=(3)/(4) . The block of mass m is initially at rest . The block is mass M is released from rest with spring in unstretched state. The minimum value of M required to move the block up the plane is ( neglect mass of string and pulley and friction in pulley )

A block of mass ''m' is attached with a mass - less spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is mu = 3//4 . The minimum value of 'M' required so that the block on the inclined plane is at rest (neglect mass of string and pulley).

A block of mass m is attached with a massless spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is mu=(3)/(4) . The minimum value of M required to move the block up the plane is (Neglect mass of string, mass of pulley and friction in pulley)

A block of mass m is attached with a massless spring of force constant K. the block is placed over a rough inclined surface for which the coefficient of friction is mu =3/4 find the minimum value of M required to move the block up the place. (Neglect mass of string and pulley. Ignore friction in pulley). .

Find the minimum force required to keep a block of mass m in equilibrium on a rough inclined plane with inclination alpha and coefficient of friction mu( lt tan alpha) .

A block of mass m is placed at rest on an inclination theta to the horizontal.If the coefficient of friction between the block and the plane is mu , then the total force the inclined plane exerts on the block is

A block of mass m slides down an inclined plane which makes an angle theta with the horizontal. The coefficient of friction between the block and the plane is mu . The force exerted by the block on the plane is