b. Two uniform spheres, each of mass 0.260 kg, are fixed at points A and B (Figure). Find the magnitude and direction of the initial acceleration of a uniform sphere with mass 0.010 kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at A and B. 0,010 kg PO 10.0 cm 10.0 cm 0.260 kg 6.0 cm 0.260 kg 8.0 cm 8.0 cm Figure 2: Question 3(b) Two masses system

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
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Author:Katz, Debora M.
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Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 55PQ
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Known values
Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg;
Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'' m; Earth-Moon distance = 3.82×10$ m; Radius
of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = -MR²; Damped harmonic motion
%3D
m
b
function: x(t) = x,e¬t/2t cos(w't + ø); t = ";w' = wo.[1 –
-)2; wo =
2mwo
b
b. Two uniform spheres, each of mass 0.260 kg, are fixed at points A and B (Figure). Find the
magnitude and direction of the initial acceleration of a uniform sphere with mass 0.010 kg if
released from rest at point P and acted on only by forces of gravitational attraction of the spheres
at A and B.
0,010 kg
PO
10.0 cm 10.0 cm
0.260 kg -
6.0 cm` 0.260 kg
8.0 cm | 8.0 cm
A
В
Figure 2: Question 3(b) Two masses system
Transcribed Image Text:Known values Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg; Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'' m; Earth-Moon distance = 3.82×10$ m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = -MR²; Damped harmonic motion %3D m b function: x(t) = x,e¬t/2t cos(w't + ø); t = ";w' = wo.[1 – -)2; wo = 2mwo b b. Two uniform spheres, each of mass 0.260 kg, are fixed at points A and B (Figure). Find the magnitude and direction of the initial acceleration of a uniform sphere with mass 0.010 kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at A and B. 0,010 kg PO 10.0 cm 10.0 cm 0.260 kg - 6.0 cm` 0.260 kg 8.0 cm | 8.0 cm A В Figure 2: Question 3(b) Two masses system
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