A graph of displacement versus time is shown for four different, horizontal osci

Question

A graph of displacement versus time is shown for four different, horizontal oscillators below. The spring constant of each oscillator is the same, but the mass may be different. Rank the mass of each of the oscillators, greatest first. Briefly explain your reasoning. Rank the total mechanical energy of each of the oscillators, greatest first. Briefly explain your reasoning. Rank the phase constant for each of the oscillators, between - pi and pi, greatest first. Briefly explain your reasoning. What is the velocity of Oscillator A at time t = 2.0s?

Explanation / Answer

a) Time period,T=2pi*Sqrt(m/k)

So, larger the mass, greater the time period.

3(8secs T)>2=4(6 secs T)>1(4secs T)

b) Mechanical energy: 1/2ka^2 where a is the maximmum displacement.

4>1>2=3

c)

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