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Questions and Answers
What are the vertical components of the forces acting on the horizontal beam?
What are the vertical components of the forces acting on the horizontal beam?
R sin θ and T sin 53.0°
What are the horizontal components of the forces acting on the horizontal beam?
What are the horizontal components of the forces acting on the horizontal beam?
R cos θ and T cos 53.0°
What are the magnitudes of the forces acting vertically on the beam?
What are the magnitudes of the forces acting vertically on the beam?
200 N and 600 N
What are the distances from the pivot point to the locations where the forces act on the beam?
What are the distances from the pivot point to the locations where the forces act on the beam?
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What is the purpose of applying the conditions of equilibrium to this problem?
What is the purpose of applying the conditions of equilibrium to this problem?
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Study Notes
Horizontal Beam Example
- Forces can be broken down into components in a free-body diagram, which includes: • R sin θ (vertical component) • R cos θ (horizontal component) • T sin 53.0° (vertical component) • T cos 53.0° (horizontal component)
- To achieve equilibrium, two conditions must be met, resulting in three equations: • The sum of the vertical forces equals zero • The sum of the horizontal forces equals zero • The sum of the torques equals zero
- The given values in the problem are: • 200 N (force) • 2.00 m (distance) • 600 N (force) • 4.00 m (distance)
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Description
Solve for the unknown forces and moments in a horizontal beam problem, applying the conditions of equilibrium and resolving forces into components.
