Calculating Tension in Suspended Cords for a 10kg Mass | Diagram Included

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Homework Help Overview

The problem involves a 10 kg mass suspended from a ceiling by two cords at angles of 30 and 45 degrees. Participants are tasked with finding the tension in each cord while considering the equilibrium of forces acting on the mass.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the setup of the problem, including the use of a diagram and the application of sine functions to determine tension. Questions arise regarding the correctness of the weight representation and the equilibrium of forces, both vertical and horizontal.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the equilibrium of forces, but no consensus has been reached on the specific calculations or methods to find the tensions.

Contextual Notes

Participants are working under the assumption that the mass is in equilibrium, and there is a focus on balancing both horizontal and vertical forces. The exact contributions of each cord to the tension are still being clarified.

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A mass of 10 kg is suspended from a ceiling by two cords that make angles of 30 and 45 degrees with the ceiling. Find the tension in each of the cords.

This is how I set up my diagram.

http://img205.imageshack.us/img205/1941/66920817mh7.th.jpg

I used the sine to try to find t1, but it doesn't work. I put the dotted line as 98N is that right?
 
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xCanx said:
A mass of 10 kg is suspended from a ceiling by two cords that make angles of 30 and 45 degrees with the ceiling. Find the tension in each of the cords.

I used the sine to try to find t1, but it doesn't work. I put the dotted line as 98N is that right?

The 98N will act from the weight down. It is in equilibrium. And there different contributions to supporting the 98N from each wire in the downward direction.

But ... there are also horizontal forces and they balance as well at the point attached to the weight. It is the vector sum of the horizontal and vertical forces - distributed in each wire that determines T in each wire.
 
can you tell me what I'm doing wrong? cause I understand that the object is in equilibrium.
 
xCanx said:
can you tell me what I'm doing wrong? cause I understand that the object is in equilibrium.

Sorry. I haven't seen your work. I only see your diagram.

Sine of T1 is only one component of the force acting along the line of T1.

Likewise for T2. Both x components are in equilibrium (it's not moving) as are both y components in equilibrium with the 98N down.

Solve then for the magnitude of each T.
 
i got it Thank you.
 

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