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A top of mass m=0.50kg, whose axis is ti...

A top of mass `m=0.50kg`, whose axis is tilted by an angle `theta=30^@` to the vertical, precesses due to gravity. The moment of inertia of the top relative to its symmetry axis is equal to `I=2.0g*m^2`, the angular velocity of rotation about that axis is equal to `omega=350rad//s`, the distance from the point of rest to the centre of inertia of the top is `l=10cm`. Find:
(a) the angular velocity of the top's precession,
(b) the magnitude and direction of the horizontal component of the reaction force acting on the top at the point of rest.

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