Two identical springs are attached to a small block P. The other ends of the springs are fixed at A and B. When P is in equilibrium the extension of top spring is $$20$$ cm and extension of bottom spring is $$l0$$ cm. The period of small vertical oscillations of P about its equilibrium position is (use$$ g $$=$$ $$9.8$$ $$m/s2)

Question

Two identical springs are attached to a small block P. The other ends of the springs are fixed at A and B. When P is in equilibrium the extension of top spring is $$20$$ cm and extension of bottom spring is $$l0$$ cm. The period of small vertical oscillations of P about its equilibrium position is (use$$ g $$=$$ $$9.8$$ $$m/s2)

Infinity Learn · Accepted Answer

Mg $$=$$ K×$$20-K$$×$$10$$ ⇒ K $$=$$ $$mg10100N/mT$$ $$=$$ $$2$$$$π$$MKT $$=$$ $$2$$$$π$$$$149$$×$$4$$ $$=$$ π$$7sec$$

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