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
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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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.)
у (m)
(9, 7)
(-5, 5)
(2, 7)
(8, 5).
(-2, 2)
(4, 1)
x (m)
X-
By symmetry you can determine the center of mass
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
coordinate
the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for
y-
By symmetry you can determine the center of mass
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
coordinate
the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for
Transcribed Image Text: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.) у (m) (9, 7) (-5, 5) (2, 7) (8, 5). (-2, 2) (4, 1) x (m) X- By symmetry you can determine the center of mass 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 coordinate the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for y- By symmetry you can determine the center of mass 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 coordinate the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for
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