Figure 1 of 1 A mass m is attached to a spring of force constant 81.0 N / m and

Question

Figure 1 of 1 A mass m is attached to a spring of force constant 81.0N/m and allowed to oscillate. The figure (Figure 1) shows a graph of its velocity vx as a function of time t . A. Find the period. B. Find the frequency and the angular frequency of this motion. Please enter your answers in the order frequency, angular frequency separated with comma. C. What is the amplitude (in
D. At what times does the mass reach the position x=A? If there is more than one value, please enter your answers in ascending order separated with commas. E. Find the maximum acceleration of the mass. F. Find the times at which the maximum acceleration occurs. If there is more than one value, please enter your answers in ascending order separated with commas. G. What is the mass A mass m is attached to a spring of force constant 81.0N/m and allowed to oscillate. The figure (Figure 1) shows a graph of its velocity vx as a function of time t . Find the period. B. Find the frequency and the angular frequency of this motion. Please enter your answers in the order frequency, angular frequency separated with comma. What is the amplitude (in cm)? D. At what times does the mass reach the position x = plusminusA? If there is more than one value, please enter your answers in ascending order separated with commas. Find the maximum acceleration of the mass. Find the times at which the maximum acceleration occurs. if there is more than one value, please enter your answers in ascending order separated with commas. What is the mass m ?

Explanation / Answer

a) One can tell (or should be able to tell) by looking at the graph that the period is
T = 1.6 s

b) f = 1 / T = 0.625 Hz
? = 2?f = 3.927 rad/s

c) Find the amplitude by considering the max KE which is equal to the max PE.
max KE =

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