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Statement of a problem № 282

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The middle of a uniform rod of mass m and length 1 is rig-idly fixed to a vertical axis OO' so that the angle between the rod and the axis is equal to 0 (see Fig. 1.71). The ends of the axis OO' are provided with bearings. The system rotates without friction with an angular velocity co. 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.

Solution:
The middle of a uniform rod of mass m and length  1 is rig-idly  fixed to a vert

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