Question

the maximum load, v, that can be safely supported by horizontal beam varies jointly with the width of the beam ,w, and the square of its depth ,x, and inversely with the length of the beam ,a, write an equation for the constant of variation ,k, in terms of v, w, x and a.

Answer 1

you know that
v = kwx^2/a

Now just solve for k

Answer 2

The maximum load, v , that can be safely supported by a horizontal beam varies jointly with the width of the beam, w , and the square of its depth, x , and inversely with the length of the beam, a .

Write an equation for the constant of variation, k, in terms of v, w, x, and a.