A.2 Orbital Motion a. An object moves under a central force F(r) = -k/r". The radial component of Newton's Second Law in

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A 2 Orbital Motion A An Object Moves Under A Central Force F R K R The Radial Component Of Newton S Second Law In 1 (29.04 KiB) Viewed 33 times

A.2 Orbital Motion a. An object moves under a central force F(r) = -k/r". The radial component of Newton's Second Law in polar coordinates can be written as - F(r) L? m m2, Substituting u = 1/r and changing the independent variable to 0. show that u. d02 12 [5] [5] b. Argue that for F(r) = -k/r), the motion is that of a simple harmonic oscillator in u(e), and determine its frequency. c. Starting from the velocity v expressed in polar coordinates, show that (for any central force) the kinetic energy T = {mý v in polar coordinates can be written as T= -m dr dt + 7t zmru Using this, determine the total energy of an object moving under the force F(r) = [5]