Question

Find the analytical solution for the response of the following viscously damped 1 DOF system subjected...

Find the analytical solution for the response of the following viscously damped 1 DOF system subjected to a force F(t)=Fcos(wt)

Governing equation: mx(double dot) + cx(dot) + kx = F(t)

w = 1 rad/sec

Fo = 3

to= 0

m= 1kg

c = 0.125 kg/s

k = 1 N/m

initial conditions: x0 = 2, x(dot)o = 0

Time increments are considered 0.1, 0.05, and 0.01

tE(0,70)

User the FDM central method. RUnge-kutta method and analytical solution and compare your results

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