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Which of the following statements is not true regarding a mass-spring system that moves with simple harmonic motion in the absence of friction?The potential energy stored in the system is greatest when the mass passes through the equilibrium position.The energy of the system is continually transformed between kinetic and potential energy.    The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.The total energy of the system remains constant.The total energy of the system is proportional to the square of the amplitude.

Question

Which of the following statements is not true regarding a mass-spring system that moves with simple harmonic motion in the absence of friction?The potential energy stored in the system is greatest when the mass passes through the equilibrium position.The energy of the system is continually transformed between kinetic and potential energy.    The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.The total energy of the system remains constant.The total energy of the system is proportional to the square of the amplitude.

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Solution

The statement that is not true regarding a mass-spring system that moves with simple harmonic motion in the absence of friction is: "The potential energy stored in the system is greatest when the mass passes through the equilibrium position."

In a mass-spring system, the potential energy is actually at its maximum when the spring is at its maximum compression or extension, which is at the amplitude of the motion, not at the equilibrium position. At the equilibrium position, the potential energy is at its minimum, not its maximum.

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