Four objects are held in position at the corners of a rectangle by light rods as shown in the figure below. (The mass values are given in the table.) m, (kg) | m, (kg) | m3 (kg) | m, (kg) 3.50 1.70 4.10 2.30 y m 6.00 m m +4.00 m- (a) Find the moment of inertia of the system about the x-axis. kg • m2 (b) Find the moment of inertia of the system about the y-axis. kg • m2 (c) Find the moment of inertia of the system about an axis through O and perpendicular to the page. kg • m2

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 8OQ: Figure OQ10.8 shows a system of four particles joined by light, rigid rods. Assume a = b and M is...
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Four objects are held in position at the corners of a rectangle by light rods as shown in the figure below. (The mass values are given in the table.)

m1 (kg) m2 (kg) m3 (kg) m4 (kg)
3.50 1.70 4.10 2.30
Four particles connected by light rods in the shape of a rectangle are shown. It lies on an x y-coordinate system with the center of the rectangle at the origin. An m2 particle lies in the first quadrant, an m1 particle lies in the second quadrant, an m4particle lies in the third quadrant and an m3 particle lies in the fourth quadrant. The rods that are parallel to the x-axis are of length 4.00 m. The rods that are parallel to the y-axis are of length 6.00 m.
(a) Find the moment of inertia of the system about the x-axis.
kg · m2

(b) Find the moment of inertia of the system about the y-axis.
kg · m2

(c) Find the moment of inertia of the system about an axis through O and perpendicular to the page.
kg · m2
Four objects are held in position at the corners of a rectangle by light rods as shown in the figure below. (The mass values are given in the table.)
m, (kg) | m, (kg) m, (kg) m, (kg)
3.50
1.70
4.10
2.30
m
m2
6.00 m
m
m3
+ 4.00 m→
(a) Find the moment of inertia of the system about the x-axis.
kg •
m2
(b) Find the moment of inertia of the system about the y-axis.
kg •
m2
(c) Find the moment of inertia of the system about an axis through O and perpendicular to the page.
kg · m2
Transcribed Image Text:Four objects are held in position at the corners of a rectangle by light rods as shown in the figure below. (The mass values are given in the table.) m, (kg) | m, (kg) m, (kg) m, (kg) 3.50 1.70 4.10 2.30 m m2 6.00 m m m3 + 4.00 m→ (a) Find the moment of inertia of the system about the x-axis. kg • m2 (b) Find the moment of inertia of the system about the y-axis. kg • m2 (c) Find the moment of inertia of the system about an axis through O and perpendicular to the page. kg · m2
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