Solve Equilibrium Problem - Find Tension in T3 & T4

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The discussion revolves around solving an equilibrium problem to find the tensions T3 and T4 in a system. The user initially calculates tensions T1 and T2 using trigonometric equations based on given angles, finding T1 at 98 N and T2 at 67 N. However, they encounter difficulties in determining T3 and T4, particularly due to confusion regarding the angles involved. Suggestions include focusing on a Free Body Diagram to clarify the forces at play and emphasizing that T1, T2, and T5 can be disregarded if not needed for the calculations. The conversation highlights the importance of visual aids and clear problem-solving strategies in physics.
physicspat
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Hey guys,
I am trying to solve this equilibrium problem without any success...
I attached a jpeg of the diagram because a picture is worth a thousand words.
I am trying to find the tension in T3 & T4

Thannks
 
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physicspat said:
Hey guys,
I am trying to solve this equilibrium problem without any success...
I attached a jpeg of the diagram because a picture is worth a thousand words.
I am trying to find the tension in T3 & T4

Thannks

Forgot to attach it
 

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  • Physicsproblem.jpg
    Physicsproblem.jpg
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What have you tried?

Where are you stuck?
 
I started by finding T1 & T2.
Using:
T1*Sin(Angle1) + T2*Sin(Angle2) = 150
T1*cos(Angle1) + T2*Sin(Angle2) = 0

Then I use substitution

T2 = ( - T1*Cos(Angle1) / Cos(Angle2))

Angle 1 = 110 Degrees
Angle 2 = 60 degrees

I got a tension of 98 N in T1 and 67 N in T2.

This is where I block and do not know how to figure out T3 & T4.
I was thinking that I would treat each section seperately and so when I am trying to solve for T4 I would use T1/T4/T5 vectors.
In this case the W would be T1 but it is at 290 degree angle so this is confusing me...

If I am going at this the wrong way please redirect me :)
 
Draw a Free Body Diagram for the triangle.

Unless you are to solve for T1 or T2 or T5, you can ignore them!
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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