3. Four spheres, labeled 1, 2, 3, and 4, are arranged as shown in the figure. The spheres interact with each other through gravitational forces. They are far from the surface of the Earth and any other massive bodies. d. 60, 4 60° Spheres 2, 3, and 4 have the same distance d from sphere 1; the masses are mi = m2 = m3 = m and m4 = 3m. %3D %3D %3D %3D a) Draw the free-body diagram for sphere 1. 2 d.
3. Four spheres, labeled 1, 2, 3, and 4, are arranged as shown in the figure. The spheres interact with each other through gravitational forces. They are far from the surface of the Earth and any other massive bodies. d. 60, 4 60° Spheres 2, 3, and 4 have the same distance d from sphere 1; the masses are mi = m2 = m3 = m and m4 = 3m. %3D %3D %3D %3D a) Draw the free-body diagram for sphere 1. 2 d.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.7P
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D
Transcribed Image Text:Four spheres, labeled 1, 2, 3, and 4, are arranged as
shown in the figure. The spheres interact with each
other through gravitational forces. They are far from
the surface of the Earth and any other massive
bodies.
009
1.
009
4.
sphere 1; the masses are mi = m2 m3 = m and
m4 = 3m.
Spheres 2, 3, and 4 have the same distance d from
%3D
%3D
%3D
a) Draw the free-body diagram for sphere 1.
b) Determine the net force (x and y components) on sphere 1. Note: cos(60°) = 1/2.
Draw an arrow for the net force in the figure at the top of the page.
c) Where do you have to place an additional sphere of mass m in order for the net force on sphere 1
to be zero? Calculate the position and indicate it in the figure at the top of the page.
Expert Solution
Step 1
As per guidelines we are suppose to do only three subpart from multipart questions and the above question has a, b, and c part.
Given,
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