Question

Consider the 667 N weight held by two cables shown below. The left-hand cable had tension 890 N and makes an angle of θ with the wall. The right-hand cable had tension 960 N and makes an angle of θ1 with the ceiling.


a) What is the angle θ1 which the right- hand cable makes with respect to the ceiling? Round up to four significant digits. Express unit as ”degrees”.

b) What is the angle θ which the left-hand cable makes with respect to the wall? Round up to four significant digits. Express unit as ”degrees”.

Answer 1

`held by the two cables shown below`

Care to show the picture?

Answer 2

Sure! I am attaching a document. The problem is split up into numbers 25 and 26. If you need a better picture, please let me know and I will be happy to help. Thank you.

Answer 3

Key idea here is that since the weight is at equilibrium, the forces must balance each other

Answer 4

Ok, I understand what you mean. The x component of the forces will be equal. The y components will add to cancel 667 N. I am ok at trig, but this confuses me.

Answer 5

How good are you at trigonometry ?
Given a triangle with all the lengths of 3 sides known, do you know how to find the interior angles in that triangle ?

Answer 6

Nvm the triangles then. just split the forces into components and set the sum equal to 0

Answer 7

Ok, I have done that. By the way, I have paper with me, so I am writing this down. I feel like there should be two equations that I could use to solve for the angles, but I wouldn't know how exactly.

Answer 8

Its okay, I'll walk you through setting up the two equations

Answer 9

Lets first split the forces into components along horizontal and vertical axis