9.17 A rectangular shelf is attached to a wall by two brackets 12 inches apart at points A and B, as shown in Figure P9.17. A wire with a 10-lbf weight attached to it is hanging from the edge of the shelf at point C. Determine the moment of force about point A and about point B caused by the weight at point C. You can formulate this problem by solving it twice, once for each bracket, or by creating a 2 x 3 matrix for the position vector and another 2 x 3 matrix for the force vector. Each row should correspond to a different bracket. The cross function will return a 2 × 3 result, each row corresponding to the moment about a separate bracket. Steps: 1. Using the orange coordinate system as the origin, define all point coordinates as MATLAB vectors. 2. The force vector F is vertical (-z direction) - define it as a MATLAB vector. 3. The moment of a force about a point: M =r x F where r is a vector from the point to any point on the line of action of the force F. To find the r vector from A to C use C-A. Use MATLAB to determine the cross product r x F
9.17 A rectangular shelf is attached to a wall by two brackets 12 inches apart at points A and B, as shown in Figure P9.17. A wire with a 10-lbf weight attached to it is hanging from the edge of the shelf at point C. Determine the moment of force about point A and about point B caused by the weight at point C. You can formulate this problem by solving it twice, once for each bracket, or by creating a 2 x 3 matrix for the position vector and another 2 x 3 matrix for the force vector. Each row should correspond to a different bracket. The cross function will return a 2 × 3 result, each row corresponding to the moment about a separate bracket. Steps: 1. Using the orange coordinate system as the origin, define all point coordinates as MATLAB vectors. 2. The force vector F is vertical (-z direction) - define it as a MATLAB vector. 3. The moment of a force about a point: M =r x F where r is a vector from the point to any point on the line of action of the force F. To find the r vector from A to C use C-A. Use MATLAB to determine the cross product r x F
Computer Networking: A Top-Down Approach (7th Edition)
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
Transcribed Image Text:### Figure P9.17
**Calculation of Moment of Force in Three Dimensions**
**Diagram Description:**
The diagram shows a rectangular shelf attached to a wall by two brackets, labeled as points A and B, which are 12 inches apart. A wire with a 10-lbf weight is attached, hanging from the edge of the shelf at point C. The distance between point B and point C is 4 inches. An orange coordinate system is used, with the origin placed between points A and B, indicating the directions of x, y, and z-axes.
**Problem 9.17 Description:**
A rectangular shelf is attached to a wall by two brackets, 12 inches apart at points A and B, as shown in the figure. A wire with a 10-lbf weight is attached to it, hanging from the edge of the shelf at point C. Determine the moment of force about point A and about point B caused by the weight at point C.
You can formulate this problem by solving it twice, once for each bracket, or by creating a \(2 \times 3\) matrix for the position vector and another \(2 \times 3\) matrix for the force vector. Each row should correspond to a different bracket. The cross function will return a \(2 \times 3\) result, with each row corresponding to the moment about a separate bracket.
### Steps:
1. Using the orange coordinate system as the origin, define all point coordinates as MATLAB vectors.
2. The force vector \( \mathbf{F} \) is vertical (-z direction) - define it as a MATLAB vector.
3. The moment of a force about a point: \(\mathbf{M} = \mathbf{r} \times \mathbf{F}\) where \(\mathbf{r}\) is a vector from the point to any point on the line of action of the force \(\mathbf{F}\). To find the \(\mathbf{r}\) vector from A to C, use C-A.
Use MATLAB to determine the cross product \(\mathbf{r} \times \mathbf{F}\).
![The section contains questions related to vectors and moments.
### D.
- **Question**: What is the force vector? (no units)
- **Instruction**: (enter as a vector: [x,y,z])
### E.
- **Question**: What is the Net moment about point A? (in-lb) (no units)
- **Instruction**: (enter as a vector: [x,y,z])
### F.
- **Question**: What is the Net moment about B? (in-lb) (no units)
- **Instruction**: (enter as a vector: [x,y,z])](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98eabd66-347c-4504-bb01-99b451e932fa%2F5ab27a97-843c-42a4-9e07-b430bd75c34a%2F4ky6puk_processed.png&w=3840&q=75)
Transcribed Image Text:The section contains questions related to vectors and moments.
### D.
- **Question**: What is the force vector? (no units)
- **Instruction**: (enter as a vector: [x,y,z])
### E.
- **Question**: What is the Net moment about point A? (in-lb) (no units)
- **Instruction**: (enter as a vector: [x,y,z])
### F.
- **Question**: What is the Net moment about B? (in-lb) (no units)
- **Instruction**: (enter as a vector: [x,y,z])
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