Out of the following functions representing motion of a particle which represents SHM I. y = sin ω t − cos ω t II. y = sin 3 ω t III. y = 5 cos ( 4 3 π − 3 ω t ) IV. y = 1 + ω t + ω 2 t 2 NEET 2011

Question

Out of the following functions representing motion of a particle which represents SHM I. y = sin ω t − cos ω t II. y = sin 3 ω t III. y = 5 cos ( 4 3 π ​ − 3 ω t ) IV. y = 1 + ω t + ω 2 t 2 NEET 2011 (Screening)

TestHub · Accepted Answer

For a simple harmonic motion d t 2 d 2 y ​ ∝ − y Hence, equation y = sin ω t − cos ω t and y = 5 cos ( 4 3 π ​ − 3 ω t ) are satisfying this condition and equation y = 1 + ω t + ω 2 t 2 is not periodic and y = sin 3 ω t is periodic but not SHM. Option (3) is correct

Physics - SHM Question with Solution | TestHub

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