Determine the magnitude of the
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- The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A. Determine the distance x and the magnitude and direction of R.arrow_forwardThe length of the position vector r is 240 mm. Determine the rectangular components of (a) r; and (b) the unit vector directed from O toward A.arrow_forwardDetermine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector method using rF; (b) scalar method using rectangular components of F; and (c) scalar method using components of F that are parallel and perpendicular to the line OA.arrow_forward
- Determine (a) the angle between the position vectors P and Q; and (b) a unit vector perpendicular to P and Q.arrow_forwardThe force R is the resultant of P and 0. Determine Q and the angle .arrow_forwardThe magnitude of the force F is 55 lb. Calculate the moment of F about the x-axis using (a) the scalar method; and (b) the vector method.arrow_forward
- The force F=2i12j+5klb acts along the line AB. Recognizing that the moment of F about point B is zero, determine the x- and z-coordinates of point B.arrow_forwardIt can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.arrow_forwardFor the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the direction of OA.arrow_forward
- The moment of the force F=50i100j70klb about point O is MO=400i+410j300klbft. Determine the coordinates of the point where the line of action of F intersects the xz-plane.arrow_forwardThe intensity of the line loading acting on a quarter circle is w=w0(2/). Use intergration to determine the resultant of the loading and its line of action.arrow_forwardThe forces P1=110lb,P2=200lb, and P3=150lb are equivalent to a single force R. Determine (a) the magnitude of R; and (b) the coordinates of the point where the line of action of R crosses the yz-plane.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L