During a wind storm, two guy wires supporting a tree are under tension. One guy wire is inclined 40° at an angle of 35° and is 35° under 500 N of tension. The other guy wire is inclined at 40° to the horizontal and is under 400 N of tension. Determine the magnitude and direction of the resultant force on the guy wires.

Picture can be seen here: http://highered.mcgraw-hill.com/sites/dl/free/0070735824/582661/mhr_calculus_sample_ch06.pdf #9 pg. 53

Refer to this: http://ca.answers.yahoo.com/question/index?qid=20100503032822AAZacZB

Please show all work, thanks :)

Question

During a wind storm, two guy wires supporting a tree are under tension. One guy wire is inclined 40° at an angle of 35° and is 35° under 500 N of tension. The other guy wire is inclined at 40° to the horizontal and is under 400 N of tension. Determine the magnitude and direction of the resultant force on the guy wires.

Picture can be seen here: http://highered.mcgraw-hill.com/sites/dl/free/0070735824/582661/mhr_calculus_sample_ch06.pdf #9 pg. 53

Refer to this: http://ca.answers.yahoo.com/question/index?qid=20100503032822AAZacZB

Please show all work, thanks :)

anonymous · Answer

Looks like vector addition will take care of this.
The wording is a little bad though..
The resultant forces on the wires are given. I'll assume it means, "Find the resultant force *of* the wires."
Also, there are two directions: The force from the tree, and the force from the ground (Newton's 3rd law, etc.)

anonymous · Answer

Ok

anonymous · Answer

Anyway..
break each into components, add the components, then put them back together.

anonymous · Answer

Ok, can you take me through it?

anonymous · Answer

How is your understanding of trigonometry?|dw:1339020402219:dw|