Meriam, Kraige & Bolton — Statics of Particles: Problem 2_109

⚡ Mecademy AIENG정역학 · ch2 To solve problem **2/109**, we will first define the coordinate system and the positions of all relevant points and vectors based on the provided diagram.  Problem Statement 2/109 Determine the moment of force F about point O, about point A, and about line OB. [Diagram shows a rectangular block with dimensions along the -axis, along the -axis, and along the -axis. The origin is at the bottom-back-left corner . Point is the top-back-left corner at . Point is the front-most bottom corner at . The force acts at point and is directed along the top-back edge, parallel to the -axis.] Problem 2/109 1. Define Position and Force Vectors Based on the geometric representation in the diagram: The origin is at . Therefore, . Point is located at the top of the vertical edge starting at . Its coordinates are . Thus, the position vector from to is: Point is at the bottom-front-right corner of the block. Its coordinates are . The position vector from to is: The force is applied at point and is directed along the edge of length , which is parallel to the -axis. Therefore, the force vector is: 2. (a) Moment of F about Point O ● Calculation Process 1. Present Final Formula: The moment about point is given by the cross product of the position vector to the point of application and the force vector: axby czO(0,0,0)A (0,0,c)B(a,b,0) FAy O(0,0,0)r = O 0i+0j+0k AO (0,0,c)OA r = A 0i+0j+ck B(a,b,0) OB r = B ai+bj+0k FAb y F=Fj O 2. Substitute Values: 3. Final Calculation: Us