Consider the mass-spring-damper system with the transfer function g(s) = x(s) f(s) = 1 ms2 + cs + k where x(s) and f(s) denote respectively the laplace transforms of displacement of mass and input force, m = 1 kg, c is damping constant, and k is the stiffness.

(a) we would like to study the bode diagram of this system for a damping ratio of 5 = 0.05 and natural frequency of wn = 10 rad/sec. select cand k under these and wn settings, and next plot the bode diagram of the system for the selected c and k values using matlab bode command.
(b) reading the bode diagram, answer the following: (i) if the input force is in the form sin(t), i. e., the excitation frequency is w = 1 rad/sec, what is m and o for the output z(t) = m sin(t + o). (ii) if the input force is in the form sin(10t), what is m and o for the output z(t) = m sin(10t + º). (iii) if the input force is in the form sin(100t), what is m and 6 for the output c(t) = m sin(100t + ).
(c) validate step (b) using time simulations in simulink.

3; 9 is 8 to -4

step-by-step explanation:

two data sets with the same median will not have the same varaibility

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.