Solving Tension Force Problem in APB Juniors

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SUMMARY

The discussion focuses on solving a tension force problem involving a 50 N block suspended by two ropes: one horizontal and the other at a 45-degree angle. The key principle highlighted is that the system must be in equilibrium, meaning the sum of forces in both the x and y directions must equal zero. Participants emphasize the importance of decomposing the tension in the angled rope into its vertical and horizontal components to analyze the forces accurately.

PREREQUISITES
  • Understanding of static forces and equilibrium principles
  • Knowledge of vector decomposition in physics
  • Familiarity with basic trigonometry, specifically sine and cosine functions
  • Ability to set up and solve equations based on force balance
NEXT STEPS
  • Study the concept of force equilibrium in static systems
  • Learn how to decompose vectors into components using trigonometric functions
  • Practice solving tension force problems with varying angles and weights
  • Explore graphical methods for visualizing forces acting on objects
USEFUL FOR

Students in physics courses, particularly those studying static forces and tension, as well as educators looking for examples to illustrate these concepts in a classroom setting.

Otaku Love
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Im in APB as a Juniors, my teacher just teaching us about Static Forces. One of his problems has to do with Tension Forces but before he could actually show us a true example of tension force, the bell rings, so I am not really sure how to do this problem at all.

The Question
A 50 [N] block is suspended by two ropes. One horizontal to the right. The other at 45 degree angle upwards to the left. What is the tension in each rope?

I know there's not an equaion for Tension but my teacher did say something about each side having to be equilibrium of each other.

Well this is what i got so far..
(I don't have a picture but ill describe it)
-I drew a small block represented 50 [N] and then drew one line horizontally and the other upward, making the angel look like an obtuse. Then place the 45 degrees in the angel position.

Sorry if it doesn't seem like I am making an effort, I am just really confused.
 
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Start with splitting the tension in the angled rope into vertical (y) and horizontal (x) components.

Now if the block is in equilibrium, then the sum of the forces in the x direction is zero. The sum of the forces in the y direction is also zero.

After you've split the angled tension into 'x' and 'y' components, what are the forces acting in the 'y' direction (tell me if up or down as well) and what are the forces in the 'x' direction (left or right)?
 

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