All Problems The Fundamental Equation of Dynamics
Problem 1.95
Find the magnitude and direction of the force acting on the particle of mass \(m\) during its motion in the plane \(x y\) according to the law \(x=a \sin \omega t, y=b \cos \omega t,\) where \(a, b,\) and \(\omega\) are constants
1.95. \(\mathbf{F}=-m \omega^{2} \mathbf{r},\) where \(\mathbf{r}\) is the radius vector of the particle relative to the origin of coordinates; \(F=m \omega^{2} \sqrt{x^{2}+y^{2}}\)