A uniform 36.0-kg beam of length ℓ = 4.20 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column. Answer parts a-b.
A uniform 36.0-kg beam of length ℓ = 4.20 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column. Answer parts a-b.
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
A uniform 36.0-kg beam of length ℓ = 4.20 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column. Answer parts a-b.
![The image depicts a mechanical setup involving a beam, a rope, and a supporting column. Here's the textual representation along with a detailed explanation of the diagram elements:
### Diagram Description
- There is a horizontal beam supported by a column on its right end and a rope on its left end.
- The rope is attached at a point on the beam and seems to be connected to a higher structure, which suspends the beam vertically.
- The beam’s length from the left end to the column support is denoted by \( \ell \).
- The distance from the left end of the beam to the point where the rope is attached is denoted by \( d \).
- The column at the right end of the beam is displayed as a triangular structure, providing vertical support to the beam.
### Questions
(a) **Find the tension in the rope.**
\[ \text{Tension in the rope:} \ \boxed{} \ \text{N} \] (where N stands for Newtons)
(b) **Find the force that the column exerts on the right end of the beam. (Enter the magnitude.)**
\[ \text{Force exerted by the column:} \ \boxed{} \ \text{N} \]
### Explanation of the Diagram
- **\( d \)**: Horizontal distance from the left end of the beam to the point where the rope is attached.
- **\( \ell \)**: Horizontal distance from the point where the rope is attached to the column supporting the right end of the beam.
To solve these problems, one needs to apply principles from statics, particularly the equilibrium conditions for forces and moments. The tension in the rope can be calculated using the equilibrium of moments around the right end of the beam. The force that the column exerts can be determined using the equilibrium of forces in the vertical and horizontal directions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86fc9270-ad68-4ba8-8b0d-981a01802a8a%2Ffc9085a9-3daa-44d9-9637-c33f2573e1c1%2F4fojg6j_processed.png&w=3840&q=75)
Transcribed Image Text:The image depicts a mechanical setup involving a beam, a rope, and a supporting column. Here's the textual representation along with a detailed explanation of the diagram elements:
### Diagram Description
- There is a horizontal beam supported by a column on its right end and a rope on its left end.
- The rope is attached at a point on the beam and seems to be connected to a higher structure, which suspends the beam vertically.
- The beam’s length from the left end to the column support is denoted by \( \ell \).
- The distance from the left end of the beam to the point where the rope is attached is denoted by \( d \).
- The column at the right end of the beam is displayed as a triangular structure, providing vertical support to the beam.
### Questions
(a) **Find the tension in the rope.**
\[ \text{Tension in the rope:} \ \boxed{} \ \text{N} \] (where N stands for Newtons)
(b) **Find the force that the column exerts on the right end of the beam. (Enter the magnitude.)**
\[ \text{Force exerted by the column:} \ \boxed{} \ \text{N} \]
### Explanation of the Diagram
- **\( d \)**: Horizontal distance from the left end of the beam to the point where the rope is attached.
- **\( \ell \)**: Horizontal distance from the point where the rope is attached to the column supporting the right end of the beam.
To solve these problems, one needs to apply principles from statics, particularly the equilibrium conditions for forces and moments. The tension in the rope can be calculated using the equilibrium of moments around the right end of the beam. The force that the column exerts can be determined using the equilibrium of forces in the vertical and horizontal directions.
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