How to find cord tension and hinge force?

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SUMMARY

The discussion focuses on calculating the cord tension and hinge force for a 5 kg beam suspended at a 30-degree angle from a wall, with a 10 kg mass positioned one meter from the wall. The established solutions indicate a cord tension of 69N and a hinge force of 130N. Participants emphasize the importance of applying static equilibrium equations and constructing a free body diagram to visualize the forces acting on the beam.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Ability to draw and interpret free body diagrams
  • Familiarity with torque calculations
  • Basic knowledge of forces and tension in physics
NEXT STEPS
  • Study the principles of static equilibrium in detail
  • Learn how to calculate torque in various scenarios
  • Practice drawing free body diagrams for complex systems
  • Explore real-world applications of tension and hinge forces in engineering
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Students in physics, engineering students, and anyone interested in mechanics and force analysis will benefit from this discussion.

matahari
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Homework Statement


A 5 kg 10 m beam is hanging from a wall. The angle between the cord and the wall is 30 degrees, and a 10kg mass is situated one meter away from the wall. How do I solve for cord tension and hinge force?

Homework Equations


Torque_cw=Torque_ccw?

The Attempt at a Solution


it says the answers are 69N and 130N for tension and force respectively.
 
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matahari said:

Homework Statement


A 5 kg 10 m beam is hanging from a wall. The angle between the cord and the wall is 30 degrees, and a 10kg mass is situated one meter away from the wall. How do I solve for cord tension and hinge force?

Homework Equations


Torque_cw=Torque_ccw?

The Attempt at a Solution


it says the answers are 69N and 130N for tension and force respectively.

Draw a free body diagram of the beam and the cord, with the weight attached to the beam.

Write equations of static equilibrium for the free body so that you can determine the unknown tension and the hinge force.
 

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