A particle with mass m and position vector r moves under a force F U= km a) Give the u-equation in terms of the constant k, the mass m, and the angular momentum (about the z-axis) h. d²u d0² c) What is the radial distance r, as a function of ? er, where k is a positive constant. b) Give the solution for this differential equation, under the condition that at 0 = 0, u = a and de r = m = b.
A particle with mass m and position vector r moves under a force F U= km a) Give the u-equation in terms of the constant k, the mass m, and the angular momentum (about the z-axis) h. d²u d0² c) What is the radial distance r, as a function of ? er, where k is a positive constant. b) Give the solution for this differential equation, under the condition that at 0 = 0, u = a and de r = m = b.
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Transcribed Image Text:A particle with mass m and position vector r moves under a force F
U =
c) What is the radial distance r, as a function of ?
km
|r|³
a) Give the u-equation in terms of the constant k, the mass m, and the angular momentum (about the z-axis) h.
d0²
r =
∙er,
where k is a positive constant.
b) Give the solution for this differential equation, under the condition that at 0 = 0, u = a and
-
m
du
de
b.
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