Clarification on the law of angular momentum

Details Clarification on the law of angular momentum Clarification on the law of angular momentum

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..41..475t&link_type=abstract

Astrophysics and Space Science, vol. 41, June 1976, p. 475-480.

Physics

1

Angular Momentum, Classical Mechanics, Rotating Bodies, Torque, Acceleration (Physics), Euclidean Geometry, Integral Equations, Vector Analysis

Scientific paper

It is shown that the total torque of a deformable body with respect to a point A in three-dimensional Euclidean space is equal to the time-derivative of angular momentum of the body with respect to A in a fixed frame when one of the following conditions holds: (1) the point A is the center of mass of the body, (2) the second time derivative of the position vector of A is zero, and (3) the position vector which joins the point A and the center of mass has the same direction as the second derivative of the position vector of A. But for an observer on a rotating frame, these conditions alone are not sufficient to deduce the above law of angular momentum, since apparent torques appear in the equation of balance of angular momentum.

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