Joint Entrance Examination/AIEEE 2009/Q086 SHM

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Original Question by 164.100.170.4 Here's the question... Q86. If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time ? (1) aT/ x (2) aT + 2πν (3) aT/ν (4) a2T2 + 4π2ν2 Posted by 164.100.170.4 03:57, 25 September 2009 (UTC) Post a reply![1]

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Reply to the thread, posted by 164.100.170.4 Thread post Additional notes SOLUTION:[1] x = A sin(ωt + φ)[EQN. OF SHM] a = – Aω2 sin (ωt + φ) So aT/x= – ω2T (which is constant)[as ωT=1 and for given shm T is constant] These comments, along with the notes on the left, were contributed by 164.100.170.4 04:01, 25 September 2009 (UTC)

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