Weight suspended on three strings

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SUMMARY

The problem involves calculating the tensions in three strings (T1, T2, T3) supporting a 21 kg weight. To solve for the tensions, one must derive three equations based on the angles of T1 and T2, and the gravitational force acting on the mass (Mg). The tensions T1 and T2 must be resolved into their horizontal and vertical components, while T3 directly equals the gravitational force. This approach ensures that all forces are balanced in both the horizontal and vertical directions.

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  • Understanding of basic physics concepts, specifically forces and tension.
  • Knowledge of vector resolution into components (horizontal and vertical).
  • Familiarity with equilibrium conditions in static systems.
  • Ability to set up and solve systems of equations.
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  • Study vector resolution techniques for forces in physics.
  • Learn about static equilibrium and how to apply it to multi-string systems.
  • Practice solving systems of equations using methods such as substitution or elimination.
  • Explore examples of tension problems involving multiple forces and angles.
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gnehus
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I'm having trouble on this problem: A weight of 21 kg is suspended by means of three strings T1,T2,T3. T1 and two are connected to a ceiling and meet at their end. T3 connects at the joint section of T2 and T3. All that you are given is the angles of T1 & T2 and the weight of the object. How would one find the tensions in each string. I understand how to find tension in a one string question...but not with three strings.

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You have three unknowns so you will need three equations to solve the problem.

You need to break up the tensions T1 and T2 into their different components (that is, horizontal and vertical).

T3 will be equal to the force due to gravity on the mass (Mg). You now need to find two other equations. They have to do with the vertical components of T1 and T2 and the horizontal components.
 

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