A vertical spring carries a $$5$$ kg body and is hanging in equilibrium, an additional force is applied so that the spring is further stretched. When released from this position, it performs $$50$$ complete oscillations in $$25$$ s, with an amplitude of $$5$$ cm. The additional force applied is

Question

Infinity Learn · Accepted Answer

$$T=2550=12s$$ ⇒ω$$=2$$$$π$$$$T=4$$$$π$$$$rad/s$$ Spring constant $$k=m$$ω$$2=5$$×$$(4$$π$$)2=80$$$$π$$$$2N/mForce$$ $$require($$ to stretch the spring by $$5$$ cm $$isF=$$$$kx$$$$=80$$$$π$$$$2$$×$$0.05N=4$$$$π$$$$2$$

A vertical spring carries a 5 kg body and is hanging in equilibrium, an additional force is applied so that the spring is further stretched. When released from this position, it performs 50 complete oscillations in 25 s, with an amplitude of 5 cm. The additional force applied is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material