21. A mass m hanging from a spring with spring constant k oscillates with freque

Question

21. A mass m hanging from a spring with spring constant k oscillates with frequency f. What change to this oscillator would make it oscillate with frequency f/3? A increasing the spring constant to 9k B. decreasing the spring constant to k/3 C. increasing the mass to 3m D. increasing the mass to 9m 22. An oscillator undergoes simple harmonic motion along the r-axis between positions --A and z +A. At what position is oscillator's kinetie energy equal to it's elastic potential energy? A. A/vs C. A/2 D. A/4 23. What is the maximum speed of the oscil lator described by the plot shown? 21. A mass hanging from a spring ncillates with frequency f when starting from rst a distance y from its equilibriumn position. If instead it starts from rest at +y/2 from equilibrium, what is its osrillation frequency? B. 1/2 25. A scillator undergoes simgle harmonic motion along the x-axis with amplitude 20

Explanation / Answer

21)(D)increasing the mass to 9m

expalantion:

We know that

f = 1/2 pi sqrt (k/m)

f' = 1/2 pi sqrt (k/9m)

f' = f/3

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