(a) (b) (c) Sketch the following against time for a simple mechanical oscillator: The displacement of the mass. The potential energy of the mass. The kinetic energy of the mass. (i) (ii) (iii) Briefly explain the difference between the instantaneous power and average power of a mechanical oscillator. A mass of 120 g is displaced from its equilibrium position by a distance of 32 cm when a force of 50 N is applied to it. When the force is removed at time, t= 0 s, the mass begins to oscillate. At at time, t = 4.5 s, the peak amplitude of the oscilliations of the system is reduced to 0.368 times the amplitude when t=0 s. Calculate: (i) (ii) (iii) (iv) The spring constant of the system The total energy of the system at t=0 s The total energy of the system at t = 4.5 s The quality factor of the system

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Q3
(a)
(b)
(c)
(d)
Sketch the following against time for a simple mechanical oscillator:
(i)
The displacement of the mass.
(ii)
The potential energy of the mass.
(iii)
The kinetic energy of the mass.
Briefly explain the difference between the instantaneous power and average
power of a mechanical oscillator.
A mass of 120 g is displaced from its equilibrium position by a distance of
32 cm when a force of 50 N is applied to it. When the force is removed at
time, t= 0 s, the mass begins to oscillate. At at time, t = 4.5 s, the peak
amplitude of the oscilliations of the system is reduced to 0.368 times the
amplitude when t=0 s. Calculate:
(i)
(ii)
(iii)
(iv)
The spring constant of the system
The total energy of the system at t=0 s
The total energy of the system at t = 4.5 s
The quality factor of the system
Sketch both the displacement and the instantaneous power of the mass against
time for a simple mechanical oscillator.
Transcribed Image Text:Q3 (a) (b) (c) (d) Sketch the following against time for a simple mechanical oscillator: (i) The displacement of the mass. (ii) The potential energy of the mass. (iii) The kinetic energy of the mass. Briefly explain the difference between the instantaneous power and average power of a mechanical oscillator. A mass of 120 g is displaced from its equilibrium position by a distance of 32 cm when a force of 50 N is applied to it. When the force is removed at time, t= 0 s, the mass begins to oscillate. At at time, t = 4.5 s, the peak amplitude of the oscilliations of the system is reduced to 0.368 times the amplitude when t=0 s. Calculate: (i) (ii) (iii) (iv) The spring constant of the system The total energy of the system at t=0 s The total energy of the system at t = 4.5 s The quality factor of the system Sketch both the displacement and the instantaneous power of the mass against time for a simple mechanical oscillator.
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