5A Material point of mass m moves under the influence of force F-kr = – krî = With in other words, the mass m is at the tip of an isotropic harmonic oscillator with equilibrium position at the origin of the axes. a) Calculate the potential energy V(r) of m. b) To design qualitatively 1) the potential energy V(r) of the mass m, 2) its "centrifugal" dynamic energy (r) = 1²/2mr² where L is the measure of angular momentum of the mass m and r its distance from the origin of the axes, and 3) the active potential energy of U(r) = V (r)+ Vo(r). "
5A Material point of mass m moves under the influence of force F-kr = – krî = With in other words, the mass m is at the tip of an isotropic harmonic oscillator with equilibrium position at the origin of the axes. a) Calculate the potential energy V(r) of m. b) To design qualitatively 1) the potential energy V(r) of the mass m, 2) its "centrifugal" dynamic energy (r) = 1²/2mr² where L is the measure of angular momentum of the mass m and r its distance from the origin of the axes, and 3) the active potential energy of U(r) = V (r)+ Vo(r). "
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Transcribed Image Text:5A
=
Material point of mass m moves under the influence of force F-kr = –krî
With in other words, the mass m is at the tip of an isotropic harmonic oscillator with
equilibrium position at the origin of the axes.
a) Calculate the potential energy V(r) of m.
b) To design qualitatively
1) the potential energy V(r) of the mass m,
2) its "centrifugal" dynamic energy (r) = 1² /2mr² where L is the measure of
angular momentum of the mass m and r its distance from the origin of the axes, and
3) the active potential energy of U(r) = V (r)+ Vä(r).
"
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