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