: A plate of an unknown weight W is supported by three cables as
shown.
a) Draw an appropriate FBD and find the unit vectors for each
force.
b) For TCA = 416 lb, find the magnitudes of each unknown
force.*
c) What is the maximum weight that can be supported if none of
the rope tensions can exceed 1200 lb? Hint: Use the fact that this
is a linear system with one input.
*Significant credit for a correct FBD, unit vectors, and
equilibrium equations.