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(A) In a system undergoing simple harmonic motion $(SHM)$,the total energy $(E)$ is given by the sum of kinetic energy and potential energy. $E = K +

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$I$

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(A) In a system undergoing simple harmonic motion $(SHM)$,the total energy $(E)$ is given by the sum of kinetic energy and potential energy. $E = K + U = \frac{1}{2} k A^2$,where $k$ is the force constant and $A$ is the amplitude. Since the total energy is independent of the displacement $d$ at any instant,it remains constant throughout the motion. Graph $I$ represents a constant value of $y$ for all values of $d$ within the range of motion. Therefore,graph $I$ best represents the relationship.

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 total energy of the system?

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