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Statement of a problem № 281

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A horizontally oriented uniform rod AB of mass m = 1.40 kg and length L0 = 100 cm rotates freely about a stationary vertical axis OO' passing through its end A. The point A is located at the middle of the axis OO' whose length is equal to L= 55 cm. At what angular velocity of the rod the horizontal component of the force acting on the lower end of the axis OO' is equal to zero? What is in this case the horizontal component of the force acting on the upper end of the axis?

Solution:
A horizontally oriented uniform rod  AB  of mass m = 1.40 kg and length  L0 = 10

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