Show that the rate of change of the total angular momentum of a system of particles is equal to the resultant torque exerted by all external forces which act on the system.
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Expert's answer
2021-01-11T11:41:22-0500
Let the particle of mass m, is moving with velocity v then linear momentum of the particle will be p .and particle is at a distance r from the origin.
Let the angular momentum of the particle is L.
So, angular momentum of the particle will be L=r×p
⇒L=∣r∣∣p∣sinθn^
where θ is the angle between r and p and n^ is the unit vector perpendicular to r and p
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