two identical, uniform, and frictionless spheres, each of mass m, rest in a rigid rectangular container. A line connecting their centers is at 45° to the horizontal. Find the magnitudes of the forces on the spheres from (a) the bottom of the container, (b) the left side of the container, (c) the right side of the container, and (d) each other. (Hint: The force of one sphere on the other is directed along the center–center line.)
two identical, uniform, and frictionless spheres, each of mass m, rest in a rigid rectangular container. A line connecting their centers is at 45° to the horizontal. Find the magnitudes of the forces on the spheres from (a) the bottom of the container, (b) the left side of the container, (c) the right side of the container, and (d) each other. (Hint: The force of one sphere on the other is directed along the center–center line.)
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.44P
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Question
two identical, uniform,
and frictionless spheres, each of
mass m, rest in a rigid rectangular container.
A line connecting their centers is
at 45° to the horizontal. Find the
magnitudes of the forces on the spheres
from (a) the bottom of the container,
(b) the left side of the container,
(c) the right side of the container, and
(d) each other. (Hint: The force of one
sphere on the other is directed along
the center–center line.)
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