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Show that for an isolated system, centre...

Show that for an isolated system, centre of mass moves with a uniform velocity along a straight path.

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A body moving with uniform velocity has zero acceleration. As F= ma, therefore no force is required to move a body with uniform velocity.
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Separation of mmotion of a systme of particles into motion of the centre of mass and motion about the centre of mass Show vec L = L = vec L + vecM R xx vecV where vec L = Sigma vecr_i xx vecp_i is the angular momentum of the system about the centre of mass with velocities taken relative to the centre of mass. Remember vecr_i = vecr_i - vecR , rest f the notation is the standard notation used in the chapter. Note vecL and vecMR xx vecV can be said to be angular moemnta respectively about and of the centre of mass of the system of particles.