# Tension on a rope cord

1. Oct 21, 2008

### anteaters

1. The problem statement, all variables and given/known data

Figure P4.24 shows loads hanging from the ceiling of an elevator that is moving at constant velocity. Find the tension in each of the three strands of cord supporting each load, given that θ1 = 40°, θ2 = 50°, θ3 = 62°, m1 = 3 kg, and m2 = 6 kg.

2. Relevant equations

F = mg(sin theta)

3. The attempt at a solution

it asks for the answers for all of the T's but i found it for T1 - 3 for (a), and T3 for (b). I tried doing T1 = 6(9.8)(sin62) for part a, image B but it told me i have the wrong answer. and i'm completely lost on T2 for part b.

any suggestions?

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• ###### p4-24alt.gif
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2. Oct 22, 2008

### alphysicist

This is close, but notice that it would make T1 be smaller than T3, which can't be true here.

Instead, you want the y component of T1 to cancel out the y component of T3 (since T2 has no y component). What are the y components of those two strings?

3. Oct 22, 2008

### anteaters

okay i was looking through my book and realized what to do. i was just plugging and chugging with numbers instead of looking at teh problem and actually solving it. so for T1 i needed to realize that m(a) = 0 because the acceleration of the system = 0. so the only other force in the y direction was T3. so i found T1(sin 62) - T3 = 0. then i solved for T1 by doing 58.8/sin 62 = 66.59...
now for T2, would i set it up as T2 - T1(cos 28) = 0? i got 28 because in the x direction the angle would be 28 degrees below the axis in a negative direction. or would it be sin 28? any help would be appreciated

Last edited: Oct 22, 2008
4. Oct 22, 2008

### anteaters

nevermind, i figured it out. it was sin 28. thanks for your time alphysicist.