Solution: The rotor (flywheel) of a toy gyroscope has mass

Chapter 10, Problem 10.51

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The rotor (flywheel) of a toy gyroscope has mass 0.140 kg. Its moment of inertia about its axis is 1.20 * 10-4 kg # m2 . The mass of the frame is 0.0250 kg. The gyroscope is supported on a single pivot (Fig. E10.51) with its center of mass a horizontal distance of 4.00 cm from the pivot. The gyroscope is precessing in a horizontal plane at the rate of one revolution in 2.20 s. (a) Find the upward force exerted by the pivot. (b) Find the angular speed with which the rotor is spinning about its axis, expressed in rev>min. (c) Copy the diagram and draw vectors to show the angular momentum of the rotor and the torque acting on it.