A mass of 4 kg is attached to a spring and rests on a horizontal surface. The mass is then displaced horizontally 26 mm outward from the spring and then released to vibrate. If the period of harmonic motion is 0.75 s, determine.

Classical Dynamics of Particles and Systems
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Chapter3: Oscillations
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(ii)
A mass of 4 kg is attached to a spring and rests on a horizontal surface.
The mass is then displaced horizontally 26 mm outward from the spring
and then released to vibrate. If the period of harmonic motion is 0.75 s,
determine.
(a)
the frequency f of the harmonic motion
(b)
the force required to give the mass the displacement of 26 mm at
the beginning.
(c)
the time taken to move horizontally inwards for the first 12 mm after
releasing.
Transcribed Image Text:(ii) A mass of 4 kg is attached to a spring and rests on a horizontal surface. The mass is then displaced horizontally 26 mm outward from the spring and then released to vibrate. If the period of harmonic motion is 0.75 s, determine. (a) the frequency f of the harmonic motion (b) the force required to give the mass the displacement of 26 mm at the beginning. (c) the time taken to move horizontally inwards for the first 12 mm after releasing.
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