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A light pulley is suspended at the lower...

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.

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