A mass (m) is attached to a spring of stiffness (k_{1}) and viscous damper of damping coefficient

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A mass \(m\) is attached to a spring of stiffness \(k_{1}\) and viscous damper of damping coefficient \(c_{1}\) in parallel. The mass is given an initial displacement and released. The natural frequency of vibration is observed. The same mass is attached to another spring of stiffness \(k_{2}>k_{1}\) and viscous damper of damping coefficient \(c_{2}>c_{1}\) in parallel. When given the same initial displacement, the motion is still cyclic but with a smaller frequency. Explain.

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