Difference between revisions of "The Wires"
Jump to navigation
Jump to search
Line 103: | Line 103: | ||
\begin{bmatrix} | \begin{bmatrix} | ||
x_0\ cos\ 6^{\circ}\\ | x_0\ cos\ 6^{\circ}\\ | ||
− | y'\ | + | y'\ +x_0\sin\ 6^{\circ} \\ |
0 | 0 | ||
\end{bmatrix}</math></center> | \end{bmatrix}</math></center> |
Revision as of 16:24, 1 May 2017
We can parametrize the equations for the wires and wire midpoints to express the equation in vector form. In the y'-x' plane the general equation follows the relationship:
where
is the point where the line crosses the x axis.
In this form we can easily see that the components of x and y , in the y'-x' plane are
The parameterization has reduced two equations with two variables, to two equations which depend on one variable. Working in the y-x plane, we will undergo a positive rotation,
This relationship shows us that x is a constant in this frame while y can have any value, which is the horizontal line with respect to the y axis as expected.