Statics 5.85 - Member AB is supported by a cable BC and at A by a square rod which fits loosely...

Question: Member AB is supported by a cable BC and at A by a square rod which fits loosely through the square hole at the end joint of the member as shown. Determine the components of reaction at A and the tension in the cable needed to hold the 800-lb cylinder in equilibrium.
Problem 5-85 from:
Engineering Mechanics: Statics, 14th edition
Russell C. Hibbeler
Thank you guys for watching.
Please let me know if you have any comments or suggestions and also if you have any other problem you would like to go over with.

[@oreoandbeesly]

This has been a huge help. Thank you for creating this video!

[@krishnareddy5674]

Thank you from India 🇮🇳 🙏

[@Platan066]

thanks man! just helped me make a 100 on a quiz. really appreciate it

[@LearningbyTeaching]

We like those 100s.

[@noahnoxon4235]

does the rope bc not create a rotation about the z axis?

[@LearningbyTeaching]

When we solve for the tension of the rope BC, we found out that this force is equal to zero. In other words, the rope BC is technically doing nothing to our system. :)
I hope that clarifies your question!

[@303filmz8]

@@LearningbyTeaching If it was not equal to zero, would it create a rotation around the z-axis?

[@LearningbyTeaching]

@@303filmz8 By slightly looking at the drawing I believe it would :)... (I did this problem years ago, so it is not fresh on mind, however, there is a distance at point B from the x-axis and BC would have a y-component, therefore, a z moment would be created... similarly with the x-component of BC and y distance from point B.)

[@taylorrowe2002]

@@LearningbyTeaching I was going to ask this same thing because I got a variation of this question which was a little different where there was a tension and a different type of support at A which has an Ay and Ax but no Az . Thank you!

[@davidserrano6638]

Wait, I'm confused, how is there not an y force from tension BC?

[@LearningbyTeaching]

Hello David, when we did the sum of all forces in the X direction we realized that the tension BC is 0 in all directions.

[@talynjones2552]

So BC is just to “throw you off”?

[@LearningbyTeaching]

@@talynjones2552 in this case. Some people have different variations of this problem.