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A third derivation of the pendulum equation depends on the principle of angular momentum: the rate of change of angular momentum about any point is equal to the net external moment about the same point. (a) Show that the angular momentum M, or moment of momentum, about the point of support is given by M=m L^2 d θ/ d t. (b) Set d M / d t equal to the moment of the gravitational force, and show that the resulting equation reduces to Eq. (12). Note that positive moments are counterclockwise. | Nume
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