Posted by Stephanie on Friday, April 22, 2011 at 9:35am.
A 100kg box is suspended from two ropes; the left one makes an angle of 20degrees with the vertical, and the other makes an angle of 40degrees. What is the tension in each rope. I think I've got the basics:
I have Fx=T1(x) + T2(x)= 0 to calc the first tension, and Fy= T1(y) + T2(y) + w = 0 for the second tension.
To get T1(x)and T2(x) I took cosine of angle 20 and angle 40 to get 0.940 and 0.766. For the T1(y) and T2(y) I took sine of each angle to get 0.342 and 0.643. I converted mass of 100kg to 980N. Do I have that part right? And can you help me the rest of the way. I have spent two hours on this already. Thank you so much.
After this question, the only other one I'm stuck on is a ladder question. You have similar ones on this site, but not the same and I cant figure out what equation I should be using: A 10kg ladder 2.5m long rests against a frictionless wall with its base on the floor 80cm from the wall. how much force does the top of the ladder exert on the wall?

Physics  drwls, Friday, April 22, 2011 at 10:57am
Let's discuss the box and rope question. You should post the other one separately.
Since the angles that you were given are measured from vertical, you should use sine for the horizontal (x) components and cosine for the vertical (y) components. You have them mixed up.
You should write you equations in terms of T1 and T2, the two unknown tension forces you want to calculate.
When you substitute sines and cosines, you end up with
T1*sin 20  T2*sin40 = 0
and
T1*cos 20 + T2*cos 40 = W = M g
0.3420 T1  0.6428 T2 = 0
0.9397 T1 + 0.7660 T2 = 100 * g
Don't forget to multiply the mass by g = 9.8 m/s^2 to get the tensions in newtons.
The rest is just algebra. Try substituting
T1 = 1.8794 T2
into the last equation and solving for T2
Answer This Question
Related Questions
 physics  A 40N box is suspended in the ceilingusing two ropes . Each ropes ...
 physics  A man weighing 500 newtons sits in swing suspended with two ropes if ...
 physics  Biophysics strikes back The Biophysics students are having their usual...
 Physics  A crate (weight 381 N) is lowered vertically a distance of 3.0 m by ...
 Physics  Two ropes exert forces holding a suspended box having a mass of 100 N ...
 physics  A basket weighing 0.3kg is suspended from two ropes which are tied to ...
 Last physics help question (my thoughts given)  A 160N child sits on a light ...
 Physics  Please Help! Two ropes hold a 500N weight. Rope A (left) with an angle...
 Physics  A 46−N lithograph is supported by two wires. One wire makes a 28...
 Physics  a 45N lithograph is supported by two wires. One wire makes a 25 angle ...
More Related Questions