If k is the force constant of the spring and `mu` is the coefficient of friction between the body of mass m and the floor, then write the total negative work done on the body tied to a spring at one end and the other end of the spring to a rigid support.

A spring of spring constant 'k' is supported from one end and tied by a mass 'm' at the other end. Write the formula to find the period of oscillation of the mass body. (Ignore the mass of the spring).

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

Force constants of two springs are k_1 and k_2 One end of a spring is connected with one end of the other. Equivalent force constant of the spring system will be

Force constants of two springs are k_1 and k_2 . One end of a spring is connected with one end of the other. Equivalent force constant of the spring system will be

A spring of force constant K rests on a smooth floor, with one end fixed to a wall. A block of mass m hits the free end of the spring with velocity v. The maximum force exerted by the spring on the wall is

A light pulley is suspended at the lower end of a spring of constant k_(1) , as shown in figure. An inextensible string passes over the pulley. At one end of string a mass m is suspended, the other end of the string is attached to another spring of constant k_(2) . The other ends of both the springs are attached to rigid supports, as shown. Neglecting masses of springs and any friction, find the time period of small oscillations of mass m about equilibrium position.

A light pulley is suspended at the lower end of a spring of constant k_(1) , as shown in figure. An inextensible string passes over the pulley. At one end of string a mass m is suspended, the other end of the string is attached to another spring of constant k_(2) . The other ends of both the springs are attached to rigid supports, as shown. Neglecting masses of springs and any friction, find the time period of small oscillations of mass m about equilibrium position.

Figure. shows a rough horizontal plane which ends in a vertical wall, to which a spring is connected, having a force constant k. Initially spring is in its relaxed state. A block of mass m starts with an initial velocity u towards the spring from a distance l_(0) from the end of spring shown. When block strikes at the end ofthe spring, it compresses the spring and comes to rest. Find the maximum compression in the spring. The friction coefficient between the block and the floor is mu ..