A particle moving with SHM from an extremity of the path towards centre is observed to be at distances $$x1$$, $$x2$$ and $$x3$$ from the centre at the ends of three successive seconds. The period of SHM is:

Question

Infinity Learn · Accepted Answer

$$x=A$$ $$cos$$ ωt, then $$x1=A$$ $$cos$$ ω, $$x2=A$$ $$cos$$ $$2$$ω,$$x3=A$$ $$cos$$ $$3$$ω          $$x1+x32x2=A($$$$cos$$ ω$$+$$$$cos$$ $$3$$ω$$)2A$$ $$cos$$ $$2$$ω                        $$=2A$$ $$cos$$ $$2$$ω $$cos$$ ω$$2A$$ $$cos$$ $$2$$ω$$=$$ $$cos$$ ω                     ω$$=$$$$cos$$$$-1x1+x32x2$$ ⇒              $$T=2$$$$π$$$$cos$$$$-1x1+x32x2$$

A particle moving with SHM from an extremity of the path towards centre is observed to be at distances x₁, x₂ and x₃ from the centre at the ends of three successive seconds. The period of SHM is:

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A particle moving with SHM from an extremity of the path towards centre is observed to be at distances x1, x2 and x3 from the centre at the ends of three successive seconds. The period of SHM is:

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A particle moving with SHM from an extremity of the path towards centre is observed to be at distances x₁, x₂ and x₃ from the centre at the ends of three successive seconds. The period of SHM is: