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In the Figure, the Rotor of a Gyroscope Is a Uniform

Question 29

Multiple Choice

In the figure, the rotor of a gyroscope is a uniform disk that has a radius of 13.8 cm and a moment of inertia about its axis of 4.0 × 10-3 kg ∙ m2. The length of the rotor shaft is 6.9 cm. The ball pivot at P is frictionless. At a given instant, the rotor shaft is horizontal and the rotor is rotating with an angular velocity of 90 rad/s about its axis OP, as shown. The rotor is viewed from point Q on the axis. The precessional linear velocity of point O, including the direction seen from point Q, is closest to In the figure, the rotor of a gyroscope is a uniform disk that has a radius of 13.8 cm and a moment of inertia about its axis of 4.0 × 10<sup>-3</sup> kg ∙ m<sup>2</sup>. The length of the rotor shaft is 6.9 cm. The ball pivot at P is frictionless. At a given instant, the rotor shaft is horizontal and the rotor is rotating with an angular velocity of 90 rad/s about its axis OP, as shown. The rotor is viewed from point Q on the axis. The precessional linear velocity of point O, including the direction seen from point Q, is closest to   A)  0.054 m/s, leftward B)  0.054 m/s, upward C)  0.054 m/s, rightward D)  0.11 m/s, downward E)  0.11 m/s, rightward


A) 0.054 m/s, leftward
B) 0.054 m/s, upward
C) 0.054 m/s, rightward
D) 0.11 m/s, downward
E) 0.11 m/s, rightward

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