Question

The following collection of masses: 2 kg at (0, 0, 0) m; 6 kg at (0, 0, 4) m; 6 kg at (0, 4, 0) m; 6 kg at (4, 0, 0) m; 3 kg at (1, 1, 1) m; 5 kg at (-1, 0, 2) m; 2 kg at (-3, 2, -7) m. Find the center of mass.

Answer #1

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

1. A point mass of 3 kg is located at x = 0 m, y = -0.6 m, a
point mass of 5 kg is located at x = 0 m, y = +0.7 m, and a point
mass of 6 kg is located at x = 0.9 m, y = 0 m. What is the moment
of inertia of these masses about the the x axis in kg m2?
.
2. A point mass of 2 kg is located...

4) A point mass of 5 kg is placed at x = +6 m, y = 0 m, a point
mass of 4 kg is placed at x = -6 m, y = 0 m, a point mass of 3 kg
is placed at x = 0 m, y = -2 m, and a point mass of 3 kg is placed
at x = +6 m, y = +2 m. The masses are spinning about the line y = x...

Two masses collide in an elastic collision,
with the following initial values:
m1 = 2 kg
m2 = 3 kg
v01 = 5 m/s
v02 = -4 m/s
Use the conservation rules, and algebra, what is the final
velocity of mass 1, vf1 in m/s?

Four particles are in a 2-D plane with masses, x- and y-
positions, and x- and y- velocities as given in the table
below:
m
x
y
vx
vy
1
8.9 kg
-2.4 m
-4.7 m
3.1 m/s
-4 m/s
2
7.8 kg
-3.6 m
3.5 m
-5.2 m/s
5.1 m/s
3
8.7 kg
4.4 m
-5.7 m
-6 m/s
1.9 m/s
4
7.6 kg
5.6 m
2.5 m
4.2 m/s
-3.1 m/s
1) What is the x position of...

Four particles are in a 2-D plane with masses, x- and y-
positions, and x- and y- velocities as given in the table
below:
m
x
y
vx
vy
1
9.4 kg
-2.6 m
-4.5 m
3.1 m/s
-4 m/s
2
9.2 kg
-3.6 m
3.4 m
-5.1 m/s
4.9 m/s
3
9 kg
4.5 m
-5.4 m
-6 m/s
1.9 m/s
4
8.9 kg
5.5 m
2.4 m
4 m/s
-2.9 m/s
1)
What is the x position of...

A point mass of 3 kg is located at x = 0 m, y = -0.7 m, a point
mass of 5 kg is located at x = 0 m, y = +1.9 m, and a point mass of
6 kg is located at x = 0.4 m, y = 0 m. What is rotational kinetic
energy of these masses about the y axis if they are spinning at 16
rad/s about the y axis? Answer in Joules.

6) Mass 1 of 6 kg is initially moving at 9 m/s in the +x
direction and it collides perfectly elastically with mass 2 of 3 kg
initially at rest. What is the final velocity of mass 2 after the
collision in m/s? (Note: the masses are not needed to answer this
question.)

A 1-kg mass and a 4-kg mass are connected by a (massless) rod
that is 2 meters long. Where is the center of mass of the system?
Group of answer choices
At the location of the 1-kg mass
Between the two masses, but closer to the 4-kg mass
At the location of the 4-kg mass
Exactly at the center of the rod
Between the two masses, but closer to the 1-kg mass

Two ice-skaters, whose masses are 40 kg and 70 kg, hold hands
and rotate about a vertical axis that passes between them, making
one revolution in 1.5 s. Their centers of mass are separated by 1.7
m, and their center of mass is stationary. Model each skater as a
point particle.
(a) Find the angular momentum of the system about it's center of
mass.
1 308J·s
(b) Find the total kinetic energy of the system.
2 J

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