Sorry I can't stop this site from resizing the image, please see https://d2vlcm61l7u1fs.cloudfront.net/media%2F6cf%2F6cf3d73b-49e7-4ad5-bdca-0de8630e5144%2FphpEjXFYE.png
Homework Statement
Simplify the block diagram. I uploaded a single image as it's the easiest way to do this problem.
Homework Equations
None at this stage.
The Attempt at a Solution
Please see the image.
This is a system modeling question. That diagram and the hints is all the info we got, but we were told to ignore the armature inductance. I don't think it matters what the input type and output type are for this type of question...
This question involves finding the transfer function for the system, but I first need to get the differential equations correct. Have I set up the gearbox correctly?
Homework Statement
I need to find the work done by the force field:
$$\vec{F}=(5x-8y\sqrt{x^2+y^2})\vec{i}+(4x+10y\sqrt{x^2+y^2})\vec{j}+z\vec{k}$$
moving a particle from a to b along a path given by:
$$\vec{r}=\frac{1}{2}\cos(t)\vec{i}+\frac{1}{2}\sin(t)\vec{j}+4\arctan(t)\vec{k}$$
The Attempt...