Consider the bracket shown in Fig-3. If: • F1 = 10 lb @ -90° • a = 2 ft •b = 4 ft • c= 1 ft then, what is the magnitude of the vertical reaction at point 'D?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the bracket shown in Fig-3. If:

- \( F_1 = 10 \, \text{lb} \, @ \, -90^\circ \)
- \( a = 2 \, \text{ft} \)
- \( b = 4 \, \text{ft} \)
- \( c = 1 \, \text{ft} \)

then, what is the magnitude of the **vertical reaction** at point 'D'?

- \( \circ \) 0 lb
- \( \circ \) 10 lb
- \( \circ \) 14.2 lb
- \( \circ \) 20 lb
- \( \circ \) 26.4 lb
- \( \circ \) 30 lb
- \( \circ \) 32.3 lb
- \( \circ \) 40 lb
- \( \circ \) 45 lb
- \( \circ \) 50 lb
- \( \circ \) 54.1 lb
- \( \circ \) 60 lb
- \( \circ \) 67.1 lb
- \( \circ \) 70 lb
- \( \circ \) 72.7 lb
Transcribed Image Text:Consider the bracket shown in Fig-3. If: - \( F_1 = 10 \, \text{lb} \, @ \, -90^\circ \) - \( a = 2 \, \text{ft} \) - \( b = 4 \, \text{ft} \) - \( c = 1 \, \text{ft} \) then, what is the magnitude of the **vertical reaction** at point 'D'? - \( \circ \) 0 lb - \( \circ \) 10 lb - \( \circ \) 14.2 lb - \( \circ \) 20 lb - \( \circ \) 26.4 lb - \( \circ \) 30 lb - \( \circ \) 32.3 lb - \( \circ \) 40 lb - \( \circ \) 45 lb - \( \circ \) 50 lb - \( \circ \) 54.1 lb - \( \circ \) 60 lb - \( \circ \) 67.1 lb - \( \circ \) 70 lb - \( \circ \) 72.7 lb
The diagram in Fig-3 illustrates a mechanical system with a horizontal beam attached to a vertical surface. The configuration consists of:

- A vertical rod AC with points A, B, and C.
- A horizontal rod AD that is connected to the same vertical surface.
- Both rods are connected at a pivotal point D on the vertical surface.
- The vertical rod has segments labeled as 'a' (the distance from A to B) and 'b' (the distance from B to C).
- The horizontal distance from the vertical beam to point D is labeled 'c'.
- A force \( F_1 \) is applied downward at point C on the vertical rod.

This setup can be used to study the effects of forces and torques within rigid body mechanics.
Transcribed Image Text:The diagram in Fig-3 illustrates a mechanical system with a horizontal beam attached to a vertical surface. The configuration consists of: - A vertical rod AC with points A, B, and C. - A horizontal rod AD that is connected to the same vertical surface. - Both rods are connected at a pivotal point D on the vertical surface. - The vertical rod has segments labeled as 'a' (the distance from A to B) and 'b' (the distance from B to C). - The horizontal distance from the vertical beam to point D is labeled 'c'. - A force \( F_1 \) is applied downward at point C on the vertical rod. This setup can be used to study the effects of forces and torques within rigid body mechanics.
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Consider the free body diagram of member AC,

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