Homework Statement
I am given the following dynamic system. I want to find the transfer function, θ1(s)/T(s).
The main body of the satellite, J1, acts like a large mass flying through space; space is essentially without friction and therefore no damping is imparted on the main body...
Given the transfer function G(s) = 1 / (s(s+1)(s^2 + 4s + 13)), how would I determine the range of the values of K>0 such that the closed-loop poles are in the left-hand plane?
Picture of block diagram with transfer function:
Not sure if this is right at all, but I know that a system is...
…or must it be of displacement, x?
In a shear force, V (or bending moment, M) diagram, isn't it usually the shear force (or bending moment) plotted as a function of displacement, x?
When someone asks to "draw the shear force and bending moment diagrams as a function of the applied load...
Matlab Simulink--Using PID controls?
I need to use Simulink to determine an approximate numerical solution to the equation of motion for a robotic arm (image below). The equation of motion for the system is J (\theta)'' = \tau - mgl cos (\theta). (An ordinary, 2nd order nonlinear differential...
How would I determine gain and phase margins for the following transfer function:
G(s) = (0.38(s^2 + 0.1s +0.55)) / (s(s+1)(s^2 + 0.6s + 0.5))
We are learning about Bode plots but I am really struggling. I know that Bode plots display the relationship between magnitude vs. frequency and...
How would I estimate the transfer function for transmissibility given this plot:
I am told that the data does not include phase information, but assume that the phase is 0 deg at low frequency and -180 deg at high frequency. I must provide a brief rationale for each component of the transfer...
Converting from x-y to a-b coordinates--is this correct?
Picture of the two relative coordinate systems, and what I think (though I'm unsure) is the correct conversion. If someone could reaffirm or deny this (and tell me what would be correct), that would be great! Thank you in advance! :)
The numbers are good, I just checked them! Looking at the prompt again, it says to ignore the b component of the wind force (the component perpendicular to the ramp). So would the sum of the nonconservative forces be (Fw)a + f (the a component of the wind force and the friction force)...
Is this work correct?? Thank you in advance!
x=97.9cos(32)=83.02 m
y=97.9sin(32)=51.88 m
Also resolve Va into its x and y components:
Vx=28cos(7)=27.79 m/s
Vy=28sin(7)=3.412 m/s
Motion in x direction
Let Ax be acceleration in x direction
x=(1/2)(Ax)(t)^2 + (Vx)(t)...
Homework Statement
Homework Equations
Constant acceleration equations: Δx = v,xi *t + 0.5*(a,x)*t^2
Δy = v,yi *t + 0.5*(a,y)*t^2
K = 0.5*m*v^2
U = mgh
W,nonconservative forces = ∫ ∑ F dx
Conservation of Energy: K1 + U1 = K2 + U2
∑F = ma
The Attempt at a Solution (Note that in my notation, I...
Laplace transform initial value problem--need help!
Looking at the solutions to these initial value problems, I am very confused as to how the highlighted steps are derived (both use heaviside step functions). I know the goal is to get the fractions in a familiar form so that one can look them...