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First write the equation of proportionality:
To find the value of k, the constant of proportionality, substitute the given values of: L = 2000, w = 2, d = 8, and l = 16
Solve for k. Multiply both sides by 16.
Divide by 128.
so we can rewrite the first equation as:
Now we can find the safe load, L, for the given parameters: w = 8, d = 2, and l = 16.