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The graph between the restoring force and time for a simple harmonic motion will be a 

The graph between the restoring force and time for a simple harmonic motion will be a  Correct Answer sine curve

The correct answer is option 2) i.e. sine curve

CONCEPT:

  • Simple harmonic motion(SHM): It is a type of oscillatory motion in which the restoring force is directly proportional to the displacement of the body from its mean position.
    • ​This means that the net force which in turn is the acceleration is proportional to the displacement of the object and acts in the opposite direction of the displacement.
    • The displacement in an SHM for a system starting at equilibrium(x = 0) is given by the equation:

⇒ x = asinωt

​​​Where x is the displacement, a is the amplitude, ω is the angular frequency and t is the time taken. 

EXPLANATION:

  • The restoring force F is proportional to the displacement of the body from its mean position.

⇒ F ∝ -x 

⇒ F ∝ asinωt

  • Hence, the graph is a sine curve.

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