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Advanced Physics Homework Help
Coriolis Force on a Rotating and Inclined Plane
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[QUOTE="AGP, post: 3128848, member: 307883"] [h2]Homework Statement [/h2] I'm having a lot of trouble figuring this one out: I attached a figure which shows what's going on, for clarification. [h2]Homework Equations[/h2] The relation between absolute and relative velocities is as follows: U = u - OMEGA*y V = v + OMEGA*x where U and V are the absolute velocities in the absolute X and Y directions, respectively; u and v denote the velocities in the rotating x and y frames. For unforced motion, the above simplify to: u - OMEGA*y = 0 v + OMEGA*x = 0 [h2]The Attempt at a Solution[/h2] I'm having a lot of trouble accounting for the fact that the y-axis is not orthogonal to either the x-axis or the axis of rotation. I've tried accounting for that by defining a new y-axis, y' which is orthogonal, but the math is blowing up. The motion should be forced only by gravity, but I'm having no luck with the following: -M*g*sin(alpha) = M*du/dt - fv It works out via system of linear ordinary equations (by my math) to: d^2v/dt^2 + f^2v +g*f*sin(alpha) = 0 Which seems far more complicated that it should at this level. Thanks in advance for any help! [/QUOTE]
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Coriolis Force on a Rotating and Inclined Plane
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