Statement of a problem № 41305


The middle of a uniform rod of mass m and length l is rigidly fixed to a vertical axis OO so that the angle between the rod and the axis is equal to θ (see Fig. 1.71). The ends of the axis OO are provided with bearings. The system rotates without friction with an angular velocity ω. Find: (a) the magnitude and direction of the rod s angular momentum M relative to the point C, as well as its angular momentum relative to the rotation axis; (b) How much the modulus of the vector M relative to the point C increases during a half-turn; (c) The moment of external forces N acting on the axle OO in the process of rotation.

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