The force on a body executing SHM is $$2$$ N when the displacement is $$2$$ cms if the amplitude of oscillations is $$5$$ cm. What is the total energy associated with the SHM?

Question

Infinity Learn · Accepted Answer

Total EnergyTE of oscillator is               $$TE$$$$=12m$$ω$$2A2$$,                $$k=m$$ω$$2$$                $$F=$$$$kx$$$$=m$$ω$$2x$$           mω$$2=F/x$$ substitute in $$TE$$,             $$TE$$$$=12FxA2$$ Substitute the given values            $$TE$$$$=1222$$×$$10$$−$$2$$×$$5$$×$$10$$−$$22$$           $$TE$$$$=12$$×$$110$$−$$2$$×$$25$$×$$10$$−$$4$$           $$TE$$$$=1250$$×$$10-4$$          $$TE$$$$=0.125$$ or $$12.5$$×$$10$$−$$2J$$

The force on a body executing SHM is 2 N when the displacement is 2 cms if the amplitude of oscillations is 5 cm. What is the total energy associated with the SHM?

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