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Homework Statement
A particle undergoes simple harmonic motion in both the x and y directions simultaneously. Its x and y coordinates are given by: x=asin(wt) y=bcos(wt) . Show that the quantity x(dy/dt) - y(dx/dt) is constant around ellipse, and what is the physical meaning of this quantity?
The attempt at a solution
Ok so I got the first part of the question:
x(dy/dt) - y(dx/dt) = -abw
Now I have no clue what the meaning of this quantity is? the units I see are m^2/s so is this angular area? someone help please
A particle undergoes simple harmonic motion in both the x and y directions simultaneously. Its x and y coordinates are given by: x=asin(wt) y=bcos(wt) . Show that the quantity x(dy/dt) - y(dx/dt) is constant around ellipse, and what is the physical meaning of this quantity?
The attempt at a solution
Ok so I got the first part of the question:
x(dy/dt) - y(dx/dt) = -abw
Now I have no clue what the meaning of this quantity is? the units I see are m^2/s so is this angular area? someone help please