Q- A 1.5 kg piston supported on a helical spring vibrates freely with a natural frequency of 3Hz. When oscillating within an oil filled cylinder the frequency of free oscillation is reduced to 2.90Hz.
(a) Find the stiffness of the helical spring.
(b) Find the damping ratio when in the oil filled cylinder.
(c) Find the damping coefficient when in the oil filled cylinder.
(d) In the oil filled cylinder, how many oscillations are required for the amplitude to be reduced to 1/20th of the initial displacement used to excite the system?
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