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Work and energy in inertial and noninertial reference frames
1.See for example, D. Kleppner and R. Kolenkow, An Introduction to Mechanics (McGraw-Hill Kogakusha, 1973);
1.M. Alonso and E. Finn, Fundamental University Physics (Addison-Wesley, Reading, MA, 1967), Vol. 1.
4.Rodolfo A. Diaz, and William J. Herrera, “On the transformation of torques between the laboratory and center of mass reference frames,” Rev. Mex. Fisi. E 51(2), 112–115 (2005).
5.H. Goldstein, C. Poole, and J. Safko, Classical Mechanics, 3rd ed. (Addison Wesley, Reading, MA, 2002).
6.If we naively applied the conservation of energy by assigning the traditional potential energies for and ( and zero, respectively), we would obtain the mechanical energies and . If we use conservation of mechanical energy and apply Eq. (25), we find that such an equality can hold only for the particular cases and . Such a contradiction comes from an incorrect use of the potential energies when changing reference frame. If we recall that the potential energy associated with a constant force (in ) is , and take into account that and are constant (in both frames), then suitable potential energies for both forces in can be constructed by using potential energies of the form .
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