Solution Let x1 =A and x2 =A/2 be the displacements at time t1 and t2 A=Acos ωt1A2=Acos ωt2⇒cos ωt1=1 and cos ωt2=12⇒ωt1=0 and ωt2=π3⇒t2-t1=πω3⇒t2-t1=π2πT3=T6 Hope this information will clear your doubts about the topic If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible

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Solution

Let x₁ =A and x₂ =A/2 be the displacements at time t₁ and t₂.

A = Acos {ωt}_{1} \frac{A}{2} = Acos {ωt}_{2} \Rightarrow \cos {ωt}_{1} = 1 and \cos {ωt}_{2} = \frac{1}{2} \Rightarrow {ωt}_{1} = 0 and {ωt}_{2} = \frac{π}{3} \Rightarrow t_{2} - t_{1} = \frac{π}{(ω) 3} \Rightarrow t_{2} - t_{1} = \frac{π}{(\frac{2 π}{T}) 3} = \frac{T}{6}

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