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The minute and hour hands of a clock have a common axis of
Chapter 10, Problem 52P(choose chapter or problem)
Problem 52P
The minute and hour hands of a clock have a common axis of rotation and equal mass. The minute hand is long, thin, and uniform; the hour hand is short, thick, and uniform. (a) Is the moment of inertia of the minute hand greater than, less than, or equal to the moment of inertia of the hour hand? (b) Choose the best explanation from among the following:
I. The hands have equal mass, and hence equal moments of inertia.
II. Having mass farther from the axis of rotation results in a greater moment of inertia.
III. The more compact hour hand concentrates its mass ared has the greater moment of inertia.
Questions & Answers
QUESTION:
Problem 52P
The minute and hour hands of a clock have a common axis of rotation and equal mass. The minute hand is long, thin, and uniform; the hour hand is short, thick, and uniform. (a) Is the moment of inertia of the minute hand greater than, less than, or equal to the moment of inertia of the hour hand? (b) Choose the best explanation from among the following:
I. The hands have equal mass, and hence equal moments of inertia.
II. Having mass farther from the axis of rotation results in a greater moment of inertia.
III. The more compact hour hand concentrates its mass ared has the greater moment of inertia.
ANSWER:
Part (a)
Step 1 of 3:
The minute hand of a clock is longer than the hour clock. Consider both of them have the same mass and the masses distributed equally in the each rod. The minute hand is thin and the hour hand is thick. We are going to find which of the hand has the greater moment of inertia.