John carry the heaviest load.
Write down given data from questions:
Board=510cm X 510mm.
Cylinder head with dimensions=43cm X 250mm.
Cylinder lies across the board 210cm from john.
Find out: Who is carry the heaviest load?
Calculation:
We assume that mass of cylinder head = x kg
Then weight=x x 9*81
W=9.81x Newton.
Weight per unit length= Weight/Total leanth
Weight per unit length= 9.81x/43
(w/l)=0.23x N/cm
From equation contition: [tex](F_{J} +F_{T} =9.81x n)[/tex]
[tex]F_{T} (510)=9.81x[/tex] (210+21.5)
[tex]F_{T} (510)=9.81 x (231.5)[/tex]
[tex]F_{T} =4.452x N.[/tex]
[tex]F_{J} =9.81x-4.452x[/tex]
[tex]F_{J} =5.358 xN[/tex]
Therefore [tex]F_{J} \geq F_{T}[/tex]
To learn more about mass per unit length, refer to:
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