Simple Harmonic Motion wedge

Classical Mechanics Level 5

A smooth wedge of mass \(m\) and angle of inclination \(60^{\circ}\) rests unattached between two springs of spring constant \(K\) and \(4K\) on a smooth horizontal plane. The wedge touches both springs when they're in the unextended position. Find the time period (in seconds) of small oscillation of the wedge in seconds.

Give your answer to 3 decimal places.

Details and Assumptions:

  • Springs are perpendicular to the respective sides they are facing.
  • The springs are constrained to get compressed along their length.
  • Take \(m=3000 \text{ g}\), \(K=4+2\sqrt{3} \text{ N/m}\)
Try my set.

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