All Problems

The Fundamental Equation of Dynamics

Problem 1.95

Find the magnitude and direction of the force acting on the particle of mass mm during its motion in the plane xyx y according to the law x=asin⁡ωt,y=bcos⁡ωt,x=a \sin \omega t, y=b \cos \omega t, where a,b,a, b, and ω\omega are constants

Reveal Answer
1.95. F=−mω2r,\mathbf{F}=-m \omega^{2} \mathbf{r}, where r\mathbf{r} is the radius vector of the particle relative to the origin of coordinates; F=mω2x2+y2F=m \omega^{2} \sqrt{x^{2}+y^{2}}
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