+1 vote
in Machine Kinematics by (38.0k points)
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) √k/m

(b) √2k/m

(c) √4k/m

(d) √k/4m

The question was asked in a job interview.

This intriguing question comes from Four Bar Chain or Quadric Cycle Chain in section Simple Mechanisms of Machine Kinematics

1 Answer

0 votes
by (106k points)
Right option is (c) √4k/m

Easiest explanation: stiffness ∞ 1/length

keq = 2k + 2k = 4k

ω = √4k/m.

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