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(a) If FB= 2 kN and theresultant force acts along the positive u-axis(as shown in Figure -01), determinethe magnitude of the resultant force and the angle theta (b) Determine the magnitude and direction measured counter-clockwise from the positive x-axis of the resultantforce of the three forces acting on the ring A (as shown in Figure -02). Take F1= 500 N and theta =20°.

(a) If FB= 2 kN and theresultant force acts along the positive u-axis(as shown in Figure -01), determinethe magnitude of the resultant force and the angle theta (b) Determine the magnitude and direction measured counter-clockwise from the positive x-axis of the resultantforce of the three forces acting on the ring A (as shown in Figure -02). Take F1= 500 N and theta =20°.

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
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(a) If FB= 2 kN and theresultant force acts along the positive u-axis(as shown in Figure -01), determinethe magnitude of the resultant force and the angle theta

(b) Determine the magnitude and direction measured counter-clockwise from the positive x-axis of the resultantforce of the three forces acting on the ring A (as shown in Figure -02). Take F1= 500 N and theta =20°.

**Diagrams and Force Analysis** --- **Figure 01: Force Analysis on a Mechanism** In this diagram, the mechanical structure is mounted to a wall, as indicated by the shaded area on the left. The structure features a pivotal joint at point A and a force \( F_A \) of 3 kN acting horizontally along the x-axis. Another force, \( F_B \), is acting downward at point B. The angle θ between the mechanical arm extending from points A to B and the horizontal axis is 30 degrees. The figure includes both x and y-coordinate axes for reference. **Figure 02: Force Equilibrium on a Crate** This illustration shows a crate subjected to multiple forces, situated on a rough surface. - Two cables are attached to the point on the top of the crate at point A, each exerting a force of 600 N along the directions specified by the angles θ and 30 degrees. - An additional force of 400 N is acting downward from point A. - Several coordinate axes are shown, with the z-axis likely pointing perpendicularly into the plane, denoted by direction indicators for forces. Both figures are accompanied by labels and coordinate axes marked for clarity, displaying the various angles and force magnitudes crucial to the equilibrium and structural analysis of the systems depicted. These diagrams illustrate practical applications of force and moment analysis in engineering mechanics.
Transcribed Image Text:**Diagrams and Force Analysis** --- **Figure 01: Force Analysis on a Mechanism** In this diagram, the mechanical structure is mounted to a wall, as indicated by the shaded area on the left. The structure features a pivotal joint at point A and a force \( F_A \) of 3 kN acting horizontally along the x-axis. Another force, \( F_B \), is acting downward at point B. The angle θ between the mechanical arm extending from points A to B and the horizontal axis is 30 degrees. The figure includes both x and y-coordinate axes for reference. **Figure 02: Force Equilibrium on a Crate** This illustration shows a crate subjected to multiple forces, situated on a rough surface. - Two cables are attached to the point on the top of the crate at point A, each exerting a force of 600 N along the directions specified by the angles θ and 30 degrees. - An additional force of 400 N is acting downward from point A. - Several coordinate axes are shown, with the z-axis likely pointing perpendicularly into the plane, denoted by direction indicators for forces. Both figures are accompanied by labels and coordinate axes marked for clarity, displaying the various angles and force magnitudes crucial to the equilibrium and structural analysis of the systems depicted. These diagrams illustrate practical applications of force and moment analysis in engineering mechanics.
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