SOLUTION: Question 1062547: A workshop table has an equilateral triangular top, each side of which is 900mm, the legs being at the three corners. A load of 500N is placed on the table at a

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Question 1075922: Question 1062547: A workshop table has an equilateral triangular top, each side of which is 900mm, the legs being at the three corners. A load of 500N is placed on the table at a point distant 325mm from one leg and 625mm from another. What is the load in each of the three legs.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
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Summing the forces in the z direction,

Summing the moments about the x axis,

Summing the moments about the y axis,

Find using the law of cosines to find ,



So then

So then,



and


and


So then,
Summing about x,



1.
and summing about y,


2.
So then adding eqs. 1 and 2,



Then,


and,
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