The figure below shows four particles at the comers of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the particles are m, = 3.10 kg, m, = 2.10 kg, mg = 3.70 kg, and m, = 2.10 kg. m 6.00 m m, - 4.00 m-- (a) What is the moment of inertia (in kg m?) of the system about the x-axis? ] kg -m? (b) What is the moment of inertia (in kg m?) of the system about the y-axis? | kg m? (c) What is the moment of inertia (in kg m?) of the system about an axis through O and perpendicular to the page (that is, the z-axis)?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 67P: Two particles of masses m1 and m2 move uniformly in different circles of radii R1 and R1 about the...
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The figure below shows four particles at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the
origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the
top left and going clockwise, the masses of the particles are m, = 3.10 kg, m2 = 2.10 kg, m3 = 3.70 kg, and m = 2.10 kg.
m
6.00 m
m
-4.00 m--
(a) What is the moment of inertia (in kg m) of the system about the x-axis?
kg m2
(b) What is the moment of inertia (in kg m?) of the system about the y-axis?
kg-m2
(c) What is the moment of inertia (in kg m of the system about an axis through O and perpendicular to the page (that is, the z-axis)?
|kg m?
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Transcribed Image Text:The figure below shows four particles at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the particles are m, = 3.10 kg, m2 = 2.10 kg, m3 = 3.70 kg, and m = 2.10 kg. m 6.00 m m -4.00 m-- (a) What is the moment of inertia (in kg m) of the system about the x-axis? kg m2 (b) What is the moment of inertia (in kg m?) of the system about the y-axis? kg-m2 (c) What is the moment of inertia (in kg m of the system about an axis through O and perpendicular to the page (that is, the z-axis)? |kg m? Need Help? Read It
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