This problem illustrates the separation of internal and external motions for a one-dimensional rigid rotor. Consider a
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This problem illustrates the separation of internal and external motions for a one-dimensional rigid rotor. Consider a diatomic molecule consisting of masses m1 and m2 at positions x1 and x2. Using the notation ẋ Ξ dxd/t show that the kinetic energy
can be expressed as
where xcm is the position of the center of mass, x = x2 − x1, M is the total mass, and μ is the reduced mass.
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To show that the kinetic energy T can be expressed in the form T 12 Mx 12 x where x represents the time derivative of x xcm is the position of the cen...View the full answer
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