Calculating Tension in a Hanging Mass: 15 and 25 Degree Angles

[cashslash89]

this is probably really easy but i can't get it

a 12kg mass is hanging from a clothes line. the line on the left forms an angle of 15 degrees and the angle of the line on the right forms a 25 degree angle. i have to solve for the tension on both sides of the clothesline

i drew a free body diagram and two diagrams showing the components of tension but i still can't solve it this is what i came up with so far

T1sin15 + T2Sin25 = 117.6N

T1cos15 = T2cos15

 

[PhanthomJay]

this is probably really easy but i can't get it

a 12kg mass is hanging from a clothes line. the line on the left forms an angle of 15 degrees and the angle of the line on the right forms a 25 degree angle. i have to solve for the tension on both sides of the clothesline

i drew a free body diagram and two diagrams showing the components of tension but i still can't solve it this is what i came up with so far

T1sin15 + T2Sin25 = 117.6N

T1cos15 = T2cos15

Yes, that looks almost right, but you meant T2cos25 in that last equation, I think. Now it's just algebra...plug in the numeric sin and cos values, and you have 2 equations and 2 unknowns, you should be able to solve for T1 and T2 using the algebraic method of your choice.