# 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 + 4π$^2$ν$^2$ Posted by 164.100.170.4 03:57, 25 September 2009 (UTC) Post a reply! | What's Up? Latest discussions on the forum Waves-And-Oscillations User:Thewinster/HHF/Waves-And-Oscillations-Preload Joint Entrance Examination/AIEEE 2009/Q080 DOPPLER EFFECT Joint Entrance Examination/AIEEE 2009/Q086 SHM Physics-Help User:Thewinster/Sandbox/Forum-Watch User:Thewinster/Sandbox Joint Entrance Examination/2000 Screening/Q023 capcitors and dielectric, equivalent capcitance Joint Entrance Examination/2000 Screening/Q027 Wind power turbine relation between wind speed and output power Joint Entrance Examination/2000 Screening/Q030 Hollow Double Convex Lens with variable liquids inside |
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Reply to the thread, posted by 164.100.170.4
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Additional notes
SOLUTION:[1]
x = A sin(ωt + φ)[EQN. OF SHM]
a = – Aω$^2$ sin (ωt + φ)
So
aT/x= – ω$^2$T (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) :