Within the xy-plane, two vectors having lengths P and Q rotate around the z-axis with angular velocities ω and –ω. At t = 0,these vectors have orientations with respect to the x axis specified by θ1 and θ2. How do I find the orientation of the major axis of the resulting ellipse relative to the x-axis.
The Attempt at a Solution
P=|p|cos(θ1+ωt) x^+ |p|sin(θ1+ωt) y^
Q=|q|cos(θ1+ωt) x^+ |q|sin(θ1+ωt) y^
x^- x hat
How do I solve this after these 2 equations?
I tried to group the x and y vectors separately. But i could not figure out anything after that.
Without the θ terms I could have just squared both sides and added it. But now I am stuck. Thank you for the help :)