- #1
kaffekjele
- 20
- 0
Homework Statement
A weight with mass m is strung up by two strings which are attached in A and B. The mass m is considered a point.
Calculate the tension i in string A and in string B.
Figure is here http://tinypic.com/r/1y1jrr/6
The mass m is 11,1kg
Distance a is 3,2m
Distance b is 3,4m
Distance c is 2,6 m
Distance d is 3,7m
(I'm translating directly from Danish, so I might not have gotten all the terms into correct English...)
The Attempt at a Solution
The first thing I did was to calculate the force G for the weight using G= mg
= 11,1*9,81 = 1089N.
I then tried to find the angles between the strings and the imaginary x-axis by using the measurements provided.
The angle between string A and the x-axis(angle v1): invers tan 3,2/2,6≈51°
The angle between string A and the x-axis(angle v2): invers tan 6,6/3,7≈61°
I then set up two equations, one for the horisontal force and one for the vertical force:
Horisontally: A*cosv1-B*cosv2=0
Vertically: A*sinv1+B*sinv2=108,9
And this is where I get stuck... I don't even know if I'm going about this the right way so I'd appreciate it if someone could have a look at it and point me in the right direction.