The time period of small oscillations of mass `m` :-

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.

A system is shown in the figure. The force The time period for small oscillations of the two blocks will be

A system is shown in the figure. The time period for small oscillations of the two blocks will be

A mass m is suspended from a weightless spring. The time period of oscillation of mass is 3 s . Calculate the value of m if on suspending an additional mass of 3kg, time period increases by 2 s.

The time period of vertical oscillations of a light spring with a load of mass M is T. If another load of mass m is attaches to the load M, the time period of oscillation is doubled. The value of m is

The ratio of the time periods of small oscillation of the insulated spring and mass system before and after charging the masses is