A system of four(4) free particles each has a mass mi and initial position ri and initial velocity vi .
i) Describe your own four-particle system in detail.
ii) Determine the position Rcm and velocity Vcm of the centre of mass of the system.
iii) Determine the total linear momentum Ptot and the linear momentum Pcm of the centre of mass of the system.
iv) Determine the total angular momentum Ltot and the linear momentum Pcm of the centre of mass of the system.
v) Discuss briefly about your answers in part ii), iii), iv)
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