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

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A 10 kg mass is suspended from a ceiling by two cords at angles of 30 and 45 degrees, requiring the calculation of tension in each cord. The weight of the mass is 98N, and the system is in equilibrium, meaning the forces in both the horizontal and vertical directions must balance. The tension in each cord can be determined by analyzing the components of the forces, specifically using sine and cosine functions for the angles involved. The discussion emphasizes the importance of resolving forces into their components to find the tension values accurately. The user ultimately finds the solution after clarifying the approach to the equilibrium of forces.
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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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