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Oscillations question

2009 · Q170
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Oscillations question

2009 · Q170

NEETPhysicsOscillationsMCQ+4 / −1
Which one of the following equations of motion represents simple harmonic motion ?

where k, k0, k1 and a are all positive.
  1. A
    Acceleration = −-− k (x + a)
  2. B
    Acceleration = k(x + a)
  3. C
    Acceleration = −-− ω\omegaω2x
  4. D
    Acceleration = −-− k0x + k1x2
View written solutionFree

Correct answer: C

Simple harmonic motion is defined as follows

Acceleration d2ydt2=−ω2x{{{d^2}y} \over {d{t^2}}} = - {\omega ^2}xdt2d2y​=−ω2x

The negative sign is very important in simple harmonic motion. Acceleration is independent of any initial displacement of equilibrium position.

Then acceleration = −ω2x - {\omega ^2}x−ω2x.

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