A particle executes SHM on a straight line path. The amplitude of oscillation is $$2$$ cm. When the displacement of the particle from the mean position is I cm, the numerical value of magnitude of acceleration is equal to the numerical value of magnitude of velocity. Then find out the frequency of SHM.

Question

Infinity Learn · Accepted Answer

The speed of particle at a distance x $$=$$ I from mean position isv $$=$$ ω$$A2-x2$$ $$=$$ ω$$22-12$$ $$=$$ $$3$$ s ...(i)The$$ magnitude of acceleration at x $$=$$ I isa $$=$$ ω$$2x$$ $$=$$ ω$$2--------(ii)from$$ equation $$(i) and (ii)ω$$2$$ $$=$$ $$3$$ω   ⇒ω $$=$$ $$3or$$ f $$=$$ ω$$2$$π$$=$$ $$32$$π

A particle executes SHM on a straight line path. The amplitude of oscillation is 2 cm. When the displacement of the particle from the mean position is I cm, the numerical value of magnitude of acceleration is equal to the numerical value of magnitude of velocity. Then find out the frequency of SHM.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material