The body is said to move with Simple Harmonic Motion if its acceleration is ______.

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SSC JE CE Previous Year Paper 2 (Held On: 3 March 2017 Morning)
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  1. Always directed away from the centre, at the point of reference
  2. Proportional to square of the distance from the point of reference
  3. Proportional to the distance from the point of reference and directed towards it
  4. None of these

Answer (Detailed Solution Below)

Option 3 : Proportional to the distance from the point of reference and directed towards it
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Detailed Solution

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CONCEPT:

  • Simple Harmonic Motion (SHM)Simple harmonic motion is a special type of periodic motion or oscillation where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement.
    • Example: Motion of an undamped pendulum, undamped spring-mass system.

Force (F) = - k x

Acceleration (a) = - (k/m) x

Where a is acceleration, x is the displacement of the system from its equilibrium position, m is the mass of the system and k is a constant associated with the system.

EXPLANATION:

  • In simple harmonic motion, the acceleration is proportional to the distance from the point of reference and directed towards it. So option 3 is correct.
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