2.123 A container of weight Wis suspended from ring A. Cable BAC passes through the ring and is attached to fixed supports at B and C. Two forces P = Pi and Q = Qk are applied to the ring to maintain the container in the position shown. Knowing that W = 270 lb, determine P and Q. [Hint: The tension is the same in both portions of cable BAC.] Answer 16 in. Z B W 48 in. 13 in. 72 in. X 24 in.
2.123 A container of weight Wis suspended from ring A. Cable BAC passes through the ring and is attached to fixed supports at B and C. Two forces P = Pi and Q = Qk are applied to the ring to maintain the container in the position shown. Knowing that W = 270 lb, determine P and Q. [Hint: The tension is the same in both portions of cable BAC.] Answer 16 in. Z B W 48 in. 13 in. 72 in. X 24 in.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Problem 2.123**: A container of weight \( W \) is suspended from ring \( A \). Cable \( BAC \) passes through the ring and is attached to fixed supports at \( B \) and \( C \). Two forces \( \mathbf{P} = P\mathbf{i} \) and \( \mathbf{Q} = Q\mathbf{k} \) are applied to the ring to maintain the container in the position shown. Knowing that \( W = 270 \, \text{lb} \), determine \( P \) and \( Q \). [*Hint: The tension is the same in both portions of cable \( BAC \).]
**Diagram Details**:
- The diagram is a 3D representation of a suspended container.
- \( A \) is the point where the container is attached, and it is located below the plane defined by points \( B \) and \( C \).
- The cable \( BAC \) passes through ring \( A \) and extends to supports at points \( B \) and \( C \).
- Measurements provided:
- Distance from \( B \) to the y-axis is 16 in.
- Horizontal distance from \( C \) to the y-axis is 48 in., and to the x-axis is 24 in.
- Vertical distance from \( O \) (origin) to \( C \) is 13 in.
- Vertical distance from \( A \) to the x-y plane is 72 in.
- Two forces are applied at the ring:
- Force \( \mathbf{P} \) along the i (x-axis) direction.
- Force \( \mathbf{Q} \) along the k (z-axis) direction.
- The weight \( W \) acts downward, representing the container's weight.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a80861c-f7b1-4a5c-9dd8-fa536dc93a77%2F76f0b57b-da8e-4f51-b794-44049a259fe5%2F0mrfj1n_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 2.123**: A container of weight \( W \) is suspended from ring \( A \). Cable \( BAC \) passes through the ring and is attached to fixed supports at \( B \) and \( C \). Two forces \( \mathbf{P} = P\mathbf{i} \) and \( \mathbf{Q} = Q\mathbf{k} \) are applied to the ring to maintain the container in the position shown. Knowing that \( W = 270 \, \text{lb} \), determine \( P \) and \( Q \). [*Hint: The tension is the same in both portions of cable \( BAC \).]
**Diagram Details**:
- The diagram is a 3D representation of a suspended container.
- \( A \) is the point where the container is attached, and it is located below the plane defined by points \( B \) and \( C \).
- The cable \( BAC \) passes through ring \( A \) and extends to supports at points \( B \) and \( C \).
- Measurements provided:
- Distance from \( B \) to the y-axis is 16 in.
- Horizontal distance from \( C \) to the y-axis is 48 in., and to the x-axis is 24 in.
- Vertical distance from \( O \) (origin) to \( C \) is 13 in.
- Vertical distance from \( A \) to the x-y plane is 72 in.
- Two forces are applied at the ring:
- Force \( \mathbf{P} \) along the i (x-axis) direction.
- Force \( \mathbf{Q} \) along the k (z-axis) direction.
- The weight \( W \) acts downward, representing the container's weight.
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