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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)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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### 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 \(\mathbf{r} \times \mathbf{F}\).
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])
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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