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  3. 3 suppose a system of two particles is known to...

Question: 3 suppose a system of two particles is known to...

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3. Suppose a system of two particles is known to obey the equations of motion, Eqs. (1.22) and (1.26). From the equations of the motion of the individual parti- cles show that the internal forces between particles satisfy both the weak and the strong laws of action and reaction. The argument may be generalized to a system with arbitrary number of particles, thus proving the converse of the arguments leading to Eqs. (1.22) and (1.26).
miri mi defines a point known as the center of mass, or more loosely as the ity, of the system (cf. Fig. 1.1). With this definition, (1.20) reduces dt
long the line joining the particles-a conditio ction and reaction-then all of these cross prod is zero under this assumption and Eq. (1.24) may dt of the total angular momentum is thus equal t eabout the given point. Corresponding to Eq. for Total Angular Momentum: L is constar
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