Question

y center of mass 3 0 4 8 ? EXAMPLE Find the moments and center of mass of the system of objects that have masses 3, 4, and 8 at the point (-1, 1), (2, -1), and (3, 2), respectively. SOLUTION We use the following equations to compute the moments: $M_y = 3(-1) + 4(2) + 8(3) =$ $M_x = 3(1) + 4(-1) + 8(2) =$ Since $m = 3 + 4 + 8 =$ $x = \frac{M_y}{m} =$ $y = \frac{M_x}{m} =$ we use these equations to obtain the following. Thus the center of mass is $(x, y) =$ (See the figure.)

          y
center of mass
3
0
4
8
?
EXAMPLE
Find the moments and center of mass of the system of objects that have masses 3, 4, and 8 at the point (-1, 1), (2, -1), and (3, 2), respectively.
SOLUTION
We use the following equations to compute the moments:
$M_y = 3(-1) + 4(2) + 8(3) =$
$M_x = 3(1) + 4(-1) + 8(2) =$
Since $m = 3 + 4 + 8 =$
$x = \frac{M_y}{m} =$
$y = \frac{M_x}{m} =$
we use these equations to obtain the following.
Thus the center of mass is $(x, y) =$
(See the figure.)

Show more…

y
center of mass
3
0
4
8
?
EXAMPLE
Find the moments and center of mass of the system of objects that have masses 3, 4, and 8 at the point (-1, 1), (2, -1), and (3, 2), respectively.
SOLUTION
We use the following equations to compute the moments:
My = 3(-1) + 4(2) + 8(3) =
Mx = 3(1) + 4(-1) + 8(2) =
Since m = 3 + 4 + 8 =
x = (My)/(m) =
y = (Mx)/(m) =
we use these equations to obtain the following.
Thus the center of mass is (x, y) =
(See the figure.)

Added by Steven W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Krishna G

03/31/2022

Step 1

Step 1: We are given that the masses of the objects are 3, 4, and 8, and their respective positions are (-1, 1), (2, -1), and (3, 2). Show more…

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y center of mass 3 0 4 8 ① EXAMPLE Find the moments and center of mass of the system of objects that have masses 3, 4, and 8 at the point (-1, 1), (2, -1), and (3, 2), respectively. SOLUTION We use the following equations to compute the moments: My = 3(-1)+4(2) + 8(3) = Mx = 3(1)+4(-1) + 8(2) = Since m = 3+4+8= m x = My =Mx m = = we use these equations to obtain the following. Thus the center of mass is (x, y) = (See the figure.)

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