1.The figure below shows the velocity of a simple harmonic oscillator as a funct

Question

1.The figure below shows the velocity of a simple harmonic oscillator as a function of time.

(a) Estimate the period.

Estimate the magnitude of the maximum velocity.

Estimate the first time when v = 0.

Calculate the first position after t = 0 when v = 0. (Use your estimates.)

(b) Calculate the frequency. (Use your estimates.)

2.A mass m = 4.7 kg is attached to two springs as it slides along a frictionless floor, while the springs are fastened to two walls as shown in the figure below. The springs both have k = 550 N/m and are both in their relaxed states (unstretched and uncompressed) when the mass is centered between the two walls. What is the frequency of this simple harmonic oscillator?

Explanation / Answer

Based on the graph, the maximum velocity is at 4m/s.

again based on the graph and see when velocity crosses the zeros, 0.12s and roughly 0.265s

That would be the area under the graph between t=0s and t=0.12s. I'd say roughly 0.28m

2. f=sqrt(k/m) = sqrt((550N/s)/(4.7kg)) = 10.8

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