Exam code: 9702
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Write the equation for the total energy of a system undergoing simple harmonic motion in terms of mass, angular frequency and amplitude.
where m is the mass, ω is the angular frequency and x0 is the amplitude.

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At what point in a horizontal mass-spring SHM oscillation is the elastic potential energy at its maximum?
At maximum displacement (the amplitude position), where the spring is stretched or compressed the most.
At what point in a horizontal mass-spring SHM oscillation is the kinetic energy at its maximum?
At the equilibrium position, where the velocity of the mass is greatest.
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Write the equation for the total energy of a system undergoing simple harmonic motion in terms of mass, angular frequency and amplitude.
where m is the mass, ω is the angular frequency and x0 is the amplitude.
At what point in a horizontal mass-spring SHM oscillation is the elastic potential energy at its maximum?
At maximum displacement (the amplitude position), where the spring is stretched or compressed the most.
At what point in a horizontal mass-spring SHM oscillation is the kinetic energy at its maximum?
At the equilibrium position, where the velocity of the mass is greatest.
What two forms of energy interchange during the oscillation of a simple pendulum?
Gravitational potential energy and kinetic energy.
Besides kinetic and gravitational potential energy, what additional form of energy is involved in the vertical oscillation of a mass on a spring?
Elastic potential energy.
On a potential energy against displacement graph for an SHM oscillator, the curve has a .......... shape, with a minimum at the equilibrium position.
On a potential energy against displacement graph for an SHM oscillator, the curve has a 'U' shape, with a minimum at the equilibrium position.
Define total energy of a simple harmonic system in terms of its potential and kinetic energy.
E = EP + EK — the total energy is the sum of the potential and kinetic energies at any point in the oscillation.
True or False?
The total energy of an undamped simple harmonic system decreases to zero as the oscillator passes through the equilibrium position.
False.
The total energy remains constant throughout the oscillation; only the split between kinetic and potential energy varies.
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