The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle e = 37° by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P to the right end of the beam that is directed upward at the angle 0 with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H and a vertical component V. Find the magnitudes of these three forces. Вeam Hinge Pin Brace (a) V = i
The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle e = 37° by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P to the right end of the beam that is directed upward at the angle 0 with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H and a vertical component V. Find the magnitudes of these three forces. Вeam Hinge Pin Brace (a) V = i
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The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 37o by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P¯ to the right end of the beam that is directed upward at the angle θ with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H¯ and a vertical component V¯. Find the magnitudes of these three forces.
![The drawing illustrates a uniform horizontal beam attached to a vertical wall by a frictionless hinge. It is supported from below at an angle \(\theta = 37^\circ\) by a brace attached to a pin. The beam has a weight of 342 N. Three additional forces maintain the beam in equilibrium:
- The brace applies a force \(P\) to the right end of the beam, directed upward at the angle \(\theta\) with respect to the horizontal.
- The hinge applies a force to the left end of the beam with a horizontal component \(H\) and a vertical component \(V\).
Task: Determine the magnitudes of these three forces.
Interactive Input Fields:
- (a) \(V =\) [Input Field]
- (b) \(P =\) [Input Field]
- (c) \(H =\) [Input Field]
Diagram Explanation:
The diagram is a simple representation showing:
- A vertical line labeled "Hinge" connecting perpendicularly to the horizontal "Beam."
- A diagonal line labeled "Brace" at an angle \(\theta\) connected to the beam via a "Pin." The angle \(\theta\) is marked between the brace and the horizontal beam.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a3fd8d2-ab47-40c5-acd3-18440d15ebc5%2F739a5df5-82c7-42fa-9465-b115186ee7fe%2Fx8puhz_processed.png&w=3840&q=75)
Transcribed Image Text:The drawing illustrates a uniform horizontal beam attached to a vertical wall by a frictionless hinge. It is supported from below at an angle \(\theta = 37^\circ\) by a brace attached to a pin. The beam has a weight of 342 N. Three additional forces maintain the beam in equilibrium:
- The brace applies a force \(P\) to the right end of the beam, directed upward at the angle \(\theta\) with respect to the horizontal.
- The hinge applies a force to the left end of the beam with a horizontal component \(H\) and a vertical component \(V\).
Task: Determine the magnitudes of these three forces.
Interactive Input Fields:
- (a) \(V =\) [Input Field]
- (b) \(P =\) [Input Field]
- (c) \(H =\) [Input Field]
Diagram Explanation:
The diagram is a simple representation showing:
- A vertical line labeled "Hinge" connecting perpendicularly to the horizontal "Beam."
- A diagonal line labeled "Brace" at an angle \(\theta\) connected to the beam via a "Pin." The angle \(\theta\) is marked between the brace and the horizontal beam.
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