Concept explainers
Which of the following statements is not true regarding a mass–spring system that moves with
The statement which is not true regarding a mass spring system that moves with simple harmonic motion in the absence of friction.
Answer to Problem 1OQ
Option (d), the potential energy stored in the system is greatest when the mass passes through the equilibrium position.
Explanation of Solution
Write the expression for the potential energy stored in the system.
Here,
At the equilibrium position,
From equation (II) it is show that the potential energy is minimum at the equilibrium position. Since the total energy is constant, minimum potential energy will gives a maximum kinetic energy.
Conclusion:
Since potential energy is minimum at equilibrium position, option (d) is false statement.
According to the conservation of energy, the total energy will be a constant, thus, option (a) is not a false statement.
To make energy as a constant, the energy of the system is continually transformed between kinetic and potential energy. Thus, option (b) is not a false statement.
The total energy of the system is proportional to the square of the amplitude Thus, option (c) is not a false statement.
The velocity of the oscillating object will have maximum value when it is passing through the equilibrium position, thus option (e) is incorrect.
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Chapter 12 Solutions
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