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  4. If graph between velocity and displacement of a particle performing SHM is shown. Find the acceleration when the particle is at half of maximum displacement from mean position. <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-uuwdhljz0trojskv.jpg />

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Q. If graph between velocity and displacement of a particle performing $SHM$ is shown. Find the acceleration when the particle is at half of maximum displacement from mean position.
Question

NTA AbhyasNTA Abhyas 2020

Solution:

Speed $v=\omega \sqrt{A^{2} - x^{2}}$ and $|\overset{ \rightarrow }{a}\left|\right.=\omega ^{2}\left|\right.\overset{ \rightarrow }{x}\left|\right.$