1. consider a mass m, whose motion in the xy-plane is described by vector r(t) = (x(t), y(t)), where

x(t)= a cos(wt), y(t)= b sin(wt), where a and b are constants with units of length (meters), t is the time and w(called "omega") is a constant with units of inverse time (seconds^-1).

c. what is the force vector F(t) which must act of the mass m, to produce this motion?


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