The graphs in the figure show that a quantity | vedclass

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(NONE) In simple harmonic motion $(SHM)$,the restoring force (or unbalanced force) $F$ acting on a particle is given by the equation $F = -kd$,where $

Vedclass · Accepted Answer

$IV$

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(NONE) In simple harmonic motion $(SHM)$,the restoring force (or unbalanced force) $F$ acting on a particle is given by the equation $F = -kd$,where $k$ is the force constant and $d$ is the displacement from the equilibrium position.
This equation $F = -kd$ represents a linear relationship between the force $F$ and the displacement $d$,where the force is directly proportional to the displacement but acts in the opposite direction.
Graphically,this is a straight line passing through the origin with a negative slope.
None of the provided graphs $(I, II, III, IV)$ depict a straight line passing through the origin with a negative slope. Therefore,the question as presented is technically flawed because the correct graph for force versus displacement is not among the options.

The graphs in the figure show that a quantity $y$ varies with displacement $d$ in a system undergoing simple harmonic motion. Which graph best represents the relationship obtained when $y$ is the unbalanced force acting on the system?

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