A ring is kept on a rough inclined surface. But the coefficient of friction is less than the minimum value required for pure rolling. At any instant of time let `K_(T) and K_(R)` be the translational and rotational kinetic energies of the ring, then

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 pullely 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). .

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). .

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) . 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 solid sphere of mass m is placed on a rough incline plane as shown in figure. The coefficient of friction (mu) is insufficient to start pure rolling. The sphere slides length l on incline from rest and its kinetic energy becomes k. Then work done by friction will be