All Problems

The Fundamental Equation of Dynamics

Problem 1.98

At the moment t=0t=0 a particle of mass mm starts moving due to a force F=F0sinωt,F=F_{0} \sin \omega t, where F0F_{0} and ω\omega are constants. Find the distance covered by the particle as a function of t.t . Draw the approximate plot of this function.

Reveal Answer
1.98. s=(ωtsinωt)F0/mω2\quad s=(\omega t-\sin \omega t) F_{0} / m \omega^{2} 6 see Fig.