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Physical quantities of system of particlaes

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The time dependent position of three particles with masses m1=1kg m2=2kg and m3=3kg are:

r1 = (3+2t^2)i + 4j
r2 = (-2+1/t)i +2tj
r3 = i-3t^j

Find the total kinetic energy of the system
The rotational kinetic energy
The total angular momentum
The angular momentum of spin
The total torque

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The 5 pages solution describes in detail how to find all the physical quantities of the system.

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The motion of a system of particles can be described as a pure translational motion of its center of mass as a single particle, and a pure rotational motion of the particles about the ...

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