Solve the following problem you have a mass of 1 kg attached to a spring with a

Question

Solve the following problem you have a mass of 1 kg attached to a spring with a constant of k = 4 N/m the friction coefficient of the mass on the surface of 0.1 kg/s, an initial position of 0 initial velocity of 0.4 m/s. Now choose a value to adjust (mass, dampening, or spring constant) to give the three states of dampening. Make a table of values and the reasoning. Consider a forcing function of F(t) = 0.5 Cos(3t) Solve this equation for your critically damped values and plot the homogenous and non-homogenous solution along with the forcing function. State your observations.

Explanation / Answer

b) for less dampening the friction coefficient =0.1kg/s is choosed and made still less.

for critical dampening the friction coefficient =0.1kg/s is choosed and made moderate to have critical dampening.

for high dampening the value should be the same as before and should be made high

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