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

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2 inches
12 inches
2 inches
B
4 inches
Figure P9.17
Calculation of moment of
force in three dimensions.
10 Ibf
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 = rx 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 rx F
Transcribed Image Text:2 inches 12 inches 2 inches B 4 inches Figure P9.17 Calculation of moment of force in three dimensions. 10 Ibf 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 = rx 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 rx F
What is the force vector? (no units)
D.
(enter as a vector: [x,y,z])
What is the Net moment about point A?
|(in-Ib) (no units)
|(enter as a vector: [x,y,z])
Е.
What is the Net moment about B? (in-Ib)
F.
(no units)
(enter as a vector: [x,y,z])
Transcribed Image Text:What is the force vector? (no units) D. (enter as a vector: [x,y,z]) What is the Net moment about point A? |(in-Ib) (no units) |(enter as a vector: [x,y,z]) Е. What is the Net moment about B? (in-Ib) F. (no units) (enter as a vector: [x,y,z])
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