Explore BrainMass
Share

Explore BrainMass

    the amplitude, period and frequency of the oscillations

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Assume that the particle under the influence of an attractive force F(r), where r is the distance from a fixed point O, then it moves in a plane through O and the equation of motion is
    ((d^2)u/d?^2)+u=F(1/u)/(h^2)(u^2),
    where h is a constant, u=1/r and ? is the angle the line from O to the particle makes with some fixed direction in the plane.

    A particle of mass 2 moves along the x-axis and is attracted towards the origin O by a force F=-8xi. If initially the particle is at x=20, and is moving to the right with speed 30 find
    (a) the position of the particle at time t,
    (b) the speed and the velocity of the particle at time t,
    (c) the amplitude, period and frequency of the oscillations.

    © BrainMass Inc. brainmass.com October 10, 2019, 2:30 am ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/amplitude-period-frequency-oscillations-380572

    Attachments

    Solution Summary

    This post finds the speed and the velocity of the particle.

    $2.19