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
Find the analytical solution for the response of the following viscously damped 1 DOF system subjected...
Homework 7: Undamped, 2-DOF System 1. A system with two masses of which the origins are at the SEPs is shown in Figure 1. The mass of m2 is acted by the external force of f(t). Assume that the cable between the two springs, k2 and k3 is not stretchable. Solve the following problems (a) Draw free-body diagrams for the two masses and derive their EOMs (b) Represent the EOMs in a matrix fornm (c) Find the undamped, natural frequencies...
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help me with this. Im done with task 1 and on the way to do task 2. but I don't know how to do it. I attach 2 file function of rksys and ode45 ( the first is rksys and second is ode 45) . thank for your help Consider the spring-mass damper that can be used to model many dynamic systems -- ----- ------- m Applying Newton's Second Law to a free-body diagram of the mass m yields the...