The figure below shows four objects 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 objects are m, = 2.50 kg, m, = 2.50 kg, m, = 4.30 kg, and m = 2.10 kg. y m m2 6.00 m m +4.00 m- (a) What is the moment of inertia (in kg - m2) of the system about the x-axis? kg · m2 (b) What is the moment of inertia (in kg · m2) 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 · m2

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 73P: Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and...
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The figure below shows four objects 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
objects are m, = 2.50 kg, m, = 2.50 kg, m, = 4.30 kg, and ma = 2.10 kg.
m,
m2
6.00 m
m
m3
4.00 m
(a) What is the moment of inertia (in kg · m2) of the system about the x-axis?
kg · m2
(b) What is the moment of inertia (in kg · m2) of the system about the y-axis?
kg · m2
(c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)?
kg • m2
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Transcribed Image Text:The figure below shows four objects 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 objects are m, = 2.50 kg, m, = 2.50 kg, m, = 4.30 kg, and ma = 2.10 kg. m, m2 6.00 m m m3 4.00 m (a) What is the moment of inertia (in kg · m2) of the system about the x-axis? kg · m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? kg · m2 (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? kg • m2 Need Help? Read It Page 2 o
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