Ask a New Question
Menu

study the motion of a particle of mass m in a central potential U(r) = γr^2 with

γ > 0.
a) write the equations of motion in cartesian coordinates (x, y, z). are they coupled or independent with each other?
b) solve the equation of motion for x, y, and z directions.
c) is the angular momentum conserved? can you select a special coordinate system to simplify the problem?
d) can the orbit be an ellipse? if yes, what conditions should the parameters in your solution satisfy?

Similar Questions
    1. answers icon 0 answers
  2. A particle of mass 1.1 kg moves under the influence of a potentialU(x) = a/x + bx (a=3 and b=2.5). The particle's motion is
    1. answers icon 0 answers
  3. A particle of mass 1.1 kg moves under the influence of a potentialU(x) = a/x + bx (a=3 and b=2.5). The particle's motion is
    1. answers icon 0 answers
  4. If the equation of motion of a particle is given by s = A cos(ωt + δ),the particle is said to undergo simple harmonic motion.
    1. answers icon 1 answer
more similar questions