# Vectors- tension problem (application of addition of vectors)

An electronic score board of mass 500 kg is suspended from a ceiling making an angle of 70 degrees with the ceiling.The weight is evenly distributed. Determine the tension in the cables in newtons

 ebaines Posts: 10,585, Reputation: 5794 Expert #2 Feb 8, 2010, 10:50 AM

Draw a free-body diagram of the score board. It's weight of 500Kg * g is a force acting straight down. This force is resisted by the tension in the cable(s), so that the sum of the vertical components of all forces is 0, and also the sum of the horizontal component of all forces is 0. The horizontal force of the tension in a cable that is at 70 degrees to the ceiling is T*cos(70), and the vertical component is T*sin(70). So you will get two simultaneous equations - solve them for T.

## Check out some similar questions!

Vectors and projecticles [ 4 Answers ]

If I shovel snow after storm exerting a force of 30.0N at an 60.0 angle to the vertcial... what will be my horziontal and vertical componets:confused: of the force exerted by marcie?

Resultant of 2 vectors [ 3 Answers ]

To get resultant displacement of 10m,2 displacement vectors,one of magnitude 6m and the other of 8m should be combined in which way?? a)parallel b)anti-parallel c)at an angle of 60 d) at an angle of 90

How to do vectors [ 2 Answers ]

My name is chris and I am currently attending ITT technical. My question is how to do vector problems in trig.