Question

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.1 kg at (0.0, 4.7) m, and 4.0 kg at (2.7, 0.0) m. Where should a fourth object of 8.6 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?

x= _____m

y=______m

Answer #1

Consider the following mass distribution where the x- and
y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.1 kg
at (0.0, 3.4) m, and 4.0 kg at (2.7, 0.0) m. Where should a fourth
object of 6.4 kg be placed so that the center of gravity of the
four-object arrangement will be at (0.0, 0.0) m?
x = _____m
y = _____m

Consider the following mass distribution where the x-
and y-coordinates are given in meters: 5.0 kg at (0.0,
0.0) m, 3.1 kg at (0.0, 3.6) m, and 4.0 kg at (2.7, 0.0) m. Where
should a fourth object of 7.4 kg be placed so that the center of
gravity of the four-object arrangement will be at (0.0, 0.0) m?

Consider the following mass distribution where the
x-and y-coordinates are given in meters: 5.0 kg
at (0.0, 0.0) m, 3.2 kg at (0.0, 4.6) m, and 4.0 kg at (3.5, 0.0)
m. Where should a fourth object of 7.7 kg be placed so that the
center of gravity of the four-object arrangement will be at (0.0,
0.0) m?
x
= m
y
= m

Consider the following mass distribution where the x-
and y-coordinates are given in meters: 5.0 kg at (0.0,
0.0) m, 2.8 kg at (0.0, 4.3) m, and 4.0 kg at (2.9, 0.0) m.Where
should a fourth object of 7.5 kg be placed so that the center of
gravity of the four-object arrangement will be at (0.0, 0.0) m?
x = m
y = m

Consider the following distribution of objects: a
1.00-kg object with its center of gravity at (0, 0) m, a 3.20-kg
object at (0, 5.00) m, and a 4.40-kg object at (2.00, 0) m. Where
should a fourth object of mass 7.00 kg be placed so that the center
of gravity of the four-object arrangement will be at (0, 0)?

Consider the following distribution of objects: a 3.00-kg object
with its center of gravity at (0, 0) m, a 4.20-kg object at (0,
3.00) m, and a 1.40-kg object at (2.00, 0) m. Where should a fourth
object of mass 7.00 kg be placed so that the center of gravity of
the four-object arrangement will be at (0, 0)?

Consider the following distribution of objects: a 4.00-kg
object with its center of gravity at (0, 0) m, a 1.20-kg object at
(0, 6.00) m, and a 1.40-kg object at (4.00, 0) m. Where should a
fourth object of mass 7.00 kg be placed so that the center of
gravity of the four-object arrangement will be at (0, 0)?

Consider the following distribution of objects: a 1.00-kg object
with its center of gravity at (0, 0) m, a 2.20-kg object at (0,
3.00) m, and a 4.40-kg object at (4.00, 0) m. Where should a fourth
object of mass9.00 kg be placed so that the center of gravity of
the four-object arrangement will be at (0, 0)?

Mass and coordinates of three particles are given: Mass, M1 = 3
kg, Coordinates: X = 1, Y = 1 Mass, M2 = 2 kg, Coordinates: X = -1,
Y = -1 Mass, M3 = 1 kg, Coordinates: X = 0, Y = 1 (a) Find the
Moment of Inertia of the three particles about the X-axis (axis of
rotation) (b) Find the Center of Mass of the three objects

A 3
kg point mass is at coordinates (4 m, 0 m) , a 7 kg mass is at (-
3, 4) and a 5kg mass is at (x, y) of (0, - 6) a) Find the moment of
inertia about the x axis. lx=______kg-m2
b) Find the vertical center of mass coordinate,
ycm=_____m
c) Find lz=_____ kg-m2

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