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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Step by step explanation :-
The only thing you have to do is add the numerator to the denominator, in this case you have to add the first ones from the front, which can be these 2+1/4, which would result in 3/4, and this is called the Commutative Property.
Answer :- The answer is 3/4
¿What is commutative property?
It is to change different ways in order of the addends the result would be the same.
Example :-
I hope I've helped : )