The center of mass is defined as a point on the straight line between two objects with masses m1 and m2 such that L1 / L2 = M2 /
M1 . What are the coordinates of the center of mass?
1 answer:
We can represent the problem as shown in the attached drawing
L1=x1
L2=x2
L=x------------distance of the center of mass
we have that
L1/L2=m2/m1------------------> L1*m1=L2*m2------------->m2=L1*m1/L2
moment = Md
the moment about O is defined to be
m1*L1+m2*L2=(m1+m2)*L
L=(m1*L1+m2*L2)/(m1+m2)
m1*L1+m2*L2=2*m1*L1--------remember-------------------->L1*m1=L2*m2
L=(2*m1*L1)/(m1+L1*m1/L2)
L=(2*m1*L1)/(m1*L2+L1*m1)/L2=(2*m1*L1)*L2/(L2*m1+L1*m1)
L=(2*L1*L2)/(L1+L2)
the coordinates of the center of mass are (L,0)
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Answer:
b.12
Step-by-step explanation:
<u>Key skills needed: Interior Angle Measure Theorem, Equation Creation</u>
1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures
The theorem is:
S is the sum of all interior angle measures
n is the number of sides of the polygon
2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:
--->
---> (7-2) is 5 since 7 - 2 = 5 so -->
---> 5(180) is the same as 5 x 180 which is 900 so -->
This means that the sum of all interior angles is 900 degrees.
3) Now, we have to find out the sum of all the angles that they gave us so:
--->
The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.
4) We have to combine all like terms on the left side:
--->
--->
5) This means that --->
Subtract 288 from both sides and get:
---> (900-288 = 612)
Then divide by 51 from both sides and get:
---> (612 ÷ 51 = 12)
Therefore b.12 is your answer.
<em>Hope you understood and have a nice day!! :D</em>