Engineering Board Exam Reviewer · Applications: Electric Circuits and Vibrations · medium

A 0.5-kg mass on a spring with k=8 N/m is pulled 0.1 m from equilibrium and released from rest (no damping). Find its displacement from equilibrium at t= π12 s.

  1. 0.05 m
  2. 0.09 m
  3. 0.1 m
  4. 0 m

Answer

A. 0.05 m

Solution

x''+16x=0 with x(0)=0.1 and x'(0)=0 gives x=0.1 4t. At t= π12: x=0.1 π3=0.05 m.

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