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Spring Mass System – Sinusoidal motion properties A 300 g mass hanging from a spring vibrates...

Spring Mass System – Sinusoidal motion properties

A 300 g mass hanging from a spring vibrates such that at its lowest point it is 2 cm above the table top and at its highest point it is 16 cm above the table. Its oscillation period (T) is 4 sec.

  1. What is its total travel distance between high to low? What is the position above the table of its equilibrium point?
  2. Determine the spring constant. (hint: think period)
  3. Determine the maximum velocity magnitude and maximum acceleration magnitude.
  4. Determine the velocity magnitude at 9 cm above the table top.
  5. Determine the vertical position, velocity magnitude and acceleration magnitude at 3.5 seconds (hint - think functional form of SHO).
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