Statics Lecture 10 part 4 example

This is the fourth and final part of Lecture 10 of an Engineering Statics course. We work another 3D reaction example problem here. This one involves a cable holding a collared peg.

[@KatrinaH-e5v]

I think the k component of the unit vector BC should be 3/7.

[@professorstevenfowler]

Expert catch Katrina! Keep up the great work!

[@PeytonStein-nm7vf]

Would Tcb not be 52.5 lbs?
*Sampling Equilibrium of forces in the Z axis*
(6/7)Tcb = 45 lbs
Tcb = 45(7/6) lbs
*Tcb= 52.5 lbs*

[@professorstevenfowler]

Peyton, Katrina has us on the right track.... when I constructed the unit vector up at the very top, somehow 6/14k incorrectly became 6/7k. This should be 3/7k. Therefore 45=3/7 Tcb then Tcb = 105