Consider the objects on the coordinate grid: a rod with m, = 5.25 kg, a right triangle with m, = 36.0 kg, and a square with m, = 4.45 kg. Calculate the center of gravity for the system. Assume the objects are uniform. (Give the coordinates of the center of gravity in m.) y (m) (9, 7) (-5, 5) - (2,7) (8, 5) (-2, 2) (4, 1) x (m) X- çoordinate By symmetry you can determine the center of mass of the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for the center of mass for the x-coordinate of the three-object system. (Note that in a uniform gravitational field, the center of mass and center of gravity of an object coincide.) m y- coordinate By symmetry you can determine the center of mass of the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for the center of mass for the y-coordinate of the three-object system. (Note that in a uniform gravitational field, the center of mass and center of gravity of an object coincide.) m
Consider the objects on the coordinate grid: a rod with m, = 5.25 kg, a right triangle with m, = 36.0 kg, and a square with m, = 4.45 kg. Calculate the center of gravity for the system. Assume the objects are uniform. (Give the coordinates of the center of gravity in m.) y (m) (9, 7) (-5, 5) - (2,7) (8, 5) (-2, 2) (4, 1) x (m) X- çoordinate By symmetry you can determine the center of mass of the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for the center of mass for the x-coordinate of the three-object system. (Note that in a uniform gravitational field, the center of mass and center of gravity of an object coincide.) m y- coordinate By symmetry you can determine the center of mass of the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for the center of mass for the y-coordinate of the three-object system. (Note that in a uniform gravitational field, the center of mass and center of gravity of an object coincide.) m
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 51P
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