A helical coil spring of stiffness k is cut to two equal halves and then these are connected in parallel to support a vibrating mass m. The angular frequency of vibration, ωn is

A helical coil spring of stiffness k is cut to two equal halves and then these are connected in parallel to support a vibrating mass m. The angular frequency of vibration, ωn is Correct Answer √4k/m

stiffness ∞ 1/length keq = 2k + 2k = 4k ω = √4k/m.

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A simple spring-mass vibrating system has a natural frequency of $${{\text{f}}_{\text{n}}}.$$ If the spring stiffness is halved and the mass is doubled, then the natural frequency will become