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The Moon orbits the Earth such that the same side always faces the Earth. Determine the
Chapter 8, Problem 69GP(choose chapter or problem)
Problem 69GP
The Moon orbits the Earth such that the same side always faces the Earth. Determine the ratio of the Moon’s spin angular momentum (about its own axis) to its orbital angular momentum. (In the latter case, treat the Moon as a particle orbiting the Earth.)
Questions & Answers
QUESTION:
Problem 69GP
The Moon orbits the Earth such that the same side always faces the Earth. Determine the ratio of the Moon’s spin angular momentum (about its own axis) to its orbital angular momentum. (In the latter case, treat the Moon as a particle orbiting the Earth.)
ANSWER:
Solution 69 GP
Step 1 of 4
We have to determine the ratio of Moon’s spin angular momentum(about its own axis) to its orbital angular momentum.
The Moon’s spin angular momentum about its own axis can be calculated using the expression,
Where,
moment of inertia of
the Moon (solid sphere)
in kgm2
angular speed of rotation
of the Moon in rad/s