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Consider the force system acting on particle P as shown. 50 N 2F 135 F 1.1 Determine F so that the resultant of the three forces is as small as possible. Also find the corresponding magnitude, direction and sense of the resultant force and depict the resultant with respect to the vectors in the given sketch. There are different approaches to the problem. Two approaches are to (i) use a combination of algebra and calculus or (ii) to proceed with a geometrical interpretation. Both approaches are described below. (i) Algebra and calculus Start with a rectangular system of axes and express all the forces in cartesian vector format. Use calculus results or graphs to find the minimum. (ii) Geometry Start with finding the resultant P of the two forces with magnitudes F and 2F. Now add P to the 50 N force. ANSWER THIS QUESTION USING BOTH METHODS. 1.2 For which values of F will the resultant R not exceed 50 N?

Consider the force system acting on particle P as shown. 50 N 2F 135 F 1.1 Determine F so that the resultant of the three forces is as small as possible. Also find the corresponding magnitude, direction and sense of the resultant force and depict the resultant with respect to the vectors in the given sketch. There are different approaches to the problem. Two approaches are to (i) use a combination of algebra and calculus or (ii) to proceed with a geometrical interpretation. Both approaches are described below. (i) Algebra and calculus Start with a rectangular system of axes and express all the forces in cartesian vector format. Use calculus results or graphs to find the minimum. (ii) Geometry Start with finding the resultant P of the two forces with magnitudes F and 2F. Now add P to the 50 N force. ANSWER THIS QUESTION USING BOTH METHODS. 1.2 For which values of F will the resultant R not exceed 50 N?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider the force system acting on particle P as shown. 50 N 2F 135 F 1.1 Determine F so that the resultant of the three forces is as small as possible. Also find the corresponding magnitude, direction and sense of the resultant force and depict the resultant with respect to the vectors in the given sketch. There are different approaches to the problem. Two approaches are to (i) use a combination of algebra and calculus or (ii) to proceed with a geometrical interpretation. Both approaches are described below. (i) Algebra and calculus Start with a rectangular system of axes and express all the forces in cartesian vector format. Use calculus results or graphs to find the minimum. (ii) Geometry Start with finding the resultant P of the two forces with magnitudes F and 2F. Now add P to the 50 N force. ANSWER THIS QUESTION USING BOTH METHODS. 1.2 For which values of F will the resultant R not exceed 50 N?
Transcribed Image Text:Consider the force system acting on particle P as shown. 50 N 2F 135 F 1.1 Determine F so that the resultant of the three forces is as small as possible. Also find the corresponding magnitude, direction and sense of the resultant force and depict the resultant with respect to the vectors in the given sketch. There are different approaches to the problem. Two approaches are to (i) use a combination of algebra and calculus or (ii) to proceed with a geometrical interpretation. Both approaches are described below. (i) Algebra and calculus Start with a rectangular system of axes and express all the forces in cartesian vector format. Use calculus results or graphs to find the minimum. (ii) Geometry Start with finding the resultant P of the two forces with magnitudes F and 2F. Now add P to the 50 N force. ANSWER THIS QUESTION USING BOTH METHODS. 1.2 For which values of F will the resultant R not exceed 50 N?
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