Calculating Tensions in a Suspended Box with Two Ropes

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SUMMARY

The discussion centers on calculating the tensions in two ropes supporting a box of mass 20 kg, with one rope attached vertically to the ceiling and the other horizontally to a wall. Participants emphasize the importance of drawing a vector diagram to visualize the forces acting on the box, which are at right angles to each other. The tension in both ropes is determined to be equal due to the equilibrium of forces, and the calculations show that the vertical rope carries the weight of the box while the horizontal rope provides lateral support.

PREREQUISITES
  • Understanding of basic physics concepts, specifically forces and tension.
  • Familiarity with vector diagrams and their application in force analysis.
  • Knowledge of equilibrium conditions in static systems.
  • Ability to perform calculations involving mass and gravitational force.
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  • Study how to draw and interpret vector diagrams in physics.
  • Learn about static equilibrium and the conditions for forces acting on an object.
  • Explore calculations involving tension in multiple rope systems.
  • Investigate the effects of different angles of attachment on tension calculations.
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators seeking to explain tension in static systems.

riot13
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1.A box of mass m,is suspended by a vertical rope attach to the ceiling and another rope attach to the wall horizontally to a wall.1)Draw a vector diagram representing the force in this situation.2)What is the tension in each rope if the box is hanging straight down.3)what are the rope tensions.4)Suppose the box has mass 20Kg,calculate the tension in the pair of ropesAny help or suggestion would be much appreciate it.Thanks

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The Attempt at a Solution


What i am getting the idea out of this problem is that i assume vector diagram will be 90 degree.But i still couldn't figure out the 2,3 & 4 question
 
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What do you mean by another rope attach to the wall horizontally to a wall ? Do you have a diagram?
And what's the difference between questions 2 and 3?
 
No diagram was given.But it will be like 90 degree one vertically attach to the ceiling and another attach horizontally to the wall.That question 2 and 3 is what bother me most as it look like the same question.
 
Draw the vector diagram, and see how forces on the block cancel each other out. Is the horizontally attached rope doing anything?
 
I think the question want us to assume that tension on both rope are the same as the diagram i can think of is perpendicular line with the right angel.So it will be like the tension of the two ropes equal to the force acting by the object?
 
According to the problem, two ropes must be parallel to each other. at one ends of the ropes the box is attached. And the other ends are connected to ceiling and the wall. In that case tension in the ropes must be equal.
 

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