Given below are the (x,y,z) coordinates of four points. (The units are feet) Point A: [16, 38, 12] Point B: [37, 0, 30] Point C: [0, 30, 24] Point D: [32, 0, 0] A force (vector) Fc is applied at point C. its line of action passes through point A and the direction of the force is towards point A (from point C). The magnitude of the force is 150lb

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Given below are the (x,y,z) coordinates of four points. (The units are feet)
Point A: [16, 38, 12]
Point B: [37, 0, 30]
Point C: [0, 30, 24]
Point D: [32, 0, 0]
A force (vector) F, is applied at point C. its line of action passes through point A and the
direction of the force is towards point A (from point C). The magnitude of the force is 150lbs.
1. Determine the (x, y, z) components of the force F. That is, express F in Cartesian
component form.
2. Determine the position vector īc/D (which defines the location of point C relative to point D.
That is, find the vector DC.
3. Compute the vector M,C, which is the moment applied at point D due to the force Fc.
4. Compute the vector ÁDB, which is the unit vector which points from point D towards point B.
5. Compute M, which is the moment applied about the line (i.e. axis) DB due to the force F.
(The result here is a scalar)
6. What are the angles (0x, Oy, 0z) that the components of the unit vector ADA (pointing from
point D towards point A) make with the positive (x, y, z) coordinate axes, respectively?
Transcribed Image Text:Given below are the (x,y,z) coordinates of four points. (The units are feet) Point A: [16, 38, 12] Point B: [37, 0, 30] Point C: [0, 30, 24] Point D: [32, 0, 0] A force (vector) F, is applied at point C. its line of action passes through point A and the direction of the force is towards point A (from point C). The magnitude of the force is 150lbs. 1. Determine the (x, y, z) components of the force F. That is, express F in Cartesian component form. 2. Determine the position vector īc/D (which defines the location of point C relative to point D. That is, find the vector DC. 3. Compute the vector M,C, which is the moment applied at point D due to the force Fc. 4. Compute the vector ÁDB, which is the unit vector which points from point D towards point B. 5. Compute M, which is the moment applied about the line (i.e. axis) DB due to the force F. (The result here is a scalar) 6. What are the angles (0x, Oy, 0z) that the components of the unit vector ADA (pointing from point D towards point A) make with the positive (x, y, z) coordinate axes, respectively?
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