Which relation depicts the force law for S.H.M.?

  1. F= -ky 
  2. F= k + y
  3. F= ky2
  4. F= ky

Answer (Detailed Solution Below)

Option 1 : F= -ky 
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Agniveer Navy SSR Full Test - 01
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Detailed Solution

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CONCEPT:

  • S.H.M or simple harmonic motion is a special type of oscillation or periodic motion where the restoring force acts in the direction opposite to the displacement and is directly proportional to it.
  • Derived by combining Newton's second law of motion and the expression for the acceleration of an object undergoing S.H.M., the force law for S.H.M. is given by:

F= -k y

where F is the restoring force 

k is the force constant

y is the displacement of S.H.M.

So option 1 is correct.

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