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

• 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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Definitions:

Antecedent

In logic and grammar, it refers to the conditional clause or phrase to which a pronoun refers back; in logic, also the first part of a conditional statement.

Consequent

The “then” component in a hypothetical proposition.

Disjunctive Premise

In logic, a premise that presents two or more options or possibilities, typically in an "either/or" format, one of which must be true.

Hypothetical Proposition

A statement that presents a conditional scenario, often structured in an "if-then" format, used to explore logical outcomes.