Two simple harmonic motions are denoted as S1 and S2 as below : S1: x=6sin2πt S2: x(x−2)=cos3πt where x is displacement (In cm) and t is time (In second)
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ForS1: x=6sin2πt =3(1−cos2πt) ⇒(x−3)=−3cos2πt ⇒period=2π2π=1second Amplitude=3 Centre of oscillation is at x=3 ForS2: x(x−2)=cos3πt ⇒(x−1)2=1+cos3πt =2cos2(3πt2) ⇒(x−1)=√2cos3πt2 ⇒period=2π3π2=43s Amplitude=√2 Centre of oscillation is at x=1
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