An -0.1 t (s) -0.2

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A block of mass m = 2 kg is attached to a spring with force constant k= 500 N/m. The block is subjected to a linear friction force f = -cv. The oscillation graph of the block is illustrated in the graph below. a) Is the oscillator over, under, or critically damped? Justify. b) Determine the period Ta of damped oscillations. c) Deduce the damping parameter y, the angular frequency wa, and the un-damped angular frequency w. d) Determine the constant of friction c. ( e) Write an expression for x(t) and make sure to calculate the numerical values for all parameters in it. Hint: Read the values of xo and vo from the graph, and note that the tangent to the graph is horizontal at t = 0 s.
+0.2
+0.1
t (s)
0.5
2.5
-0.2
Transcribed Image Text:+0.2 +0.1 t (s) 0.5 2.5 -0.2
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