Determine the normal reactions of the wheels

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Due to an unequal distribution of fuel in the wing
tanks, the centers of gravity for the airplane fuselage A and
wings B and C are located as shown. If these components
have weights WA = 45 000 lb, WB = 8000 lb, and
WC = 6000 lb, determine the normal reactions of the
wheels D, E, and F on the ground.

[@DungNguyen-bm8tf]

Very good and funny videos bring a great sense of entertainment!

[@rajkishorkumar4540]

Nice explanation sir

[@josecardenas943]

can some plz help with me understanding the direction of forces. for example how he got clockwise sum of M of y

[@isaacjohnson2486]

Since the arrows are pointing down for Wa, Wb, and Wc that'll allow those forces to rotate counter-clockwise about the y-axis (which is positive). And since F is pointing up the force will rotate clockwise about the y-axis, therefore making it negative. You have to kinda visualize how the force rotates about an axis given the way the arrow is pointed. Hope this helps.

[@ggbrizzy9936]

quick question.
why did it go from
D=E=45.26 kip
to
2D=2E= 45.26 kip
Where did the 2 come from?
Thank you

[@eclipseslayer98]

Take my very poor explaination with a huge grain of salt, but this is what I think happened.
D + E = 45.26 kip
D = E
(D + E) = 2D = 2E
D = E = 45.26 / 2 = 22.63
Don't know if this made sense, and I hope it's not wrong.

[@DJRen18]

Since we know that D=E, we can say that 2D or 2E is the same as D+E. So we replace D+E with either 2D or 2E. We already know F and now we can solve the equation since there’s only one unknown. So you can write D+E=45.26 as 2D = 45.26 or 2E = 45.26 and solve for either variable that way. Since we know that D=E, we’ll get answers for both just by solving for one of them

[@samveillon1915]

First of all there would never be wheels underneath the wing of the airplane

[@DTT420]

yes you will. Every plane has wheels under the wing.

[@samveillon1915]

@@DTT420 no numbnuts every plane has wheels under the fuselage

[@jdc2944]

@@samveillon1915 Some, but only either the humongous or certain small ones, are on the wing or the engines, but it's not really enough to notice