Question 4
15 pts
For a mass-spring-damper system the governing equation is:
$$m\ddot{x} + c\dot{x} + kx = 0$$
m=4 kg
k=81 N/m
The system is critically damped. If the initial position is 0.3 m and the initial velocity is 0.1
m/s, what is the position at t = 1.5 sec using x.xxx format?
Question 5
15 pts
For a mass-spring-damper system the governing equation is:
$$m\ddot{x} + c\dot{x} + kx = 0$$
m=6 kg
c=81 N*s/m
k=36 N/m
Determine the position, using x.xxx format, at t = 4 sec if the system starts from $$x(0) = x_0$$
=0.5 m with an initial velocity of 0.2 m/s
Question 6
15 pts
For a mass-spring-damper system the governing equation is:
$$m\ddot{x} + c\dot{x} + kx = F(t)$$
m=8 kg
c=4 N*s/m
k=85 N/m
F(t) = 0.7 N
Determine the position, using x.xxx format, at t = 5 sec if the system starts from $$x(0) = x_0$$
=0.5 m with an initial velocity of 0 m/s
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