PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Determine the magnitude of the resultant force F(R).
Determine the angle between the resultant force and the x axis.
And finally specify where the resultant’s line of action intersects member AB, measured from point A. (y = ….. ft above A)
The magnitudes of the three forces acting on the plate are T1= 100 kN, T2=80 kN, and T3= 50 kN. Replace these forces with single equivalent force R. Also, find the coordinates of the point where intersects the plate
Determine the resultant of the concurrent forces in non-coplanar system having the following magnitudes that passes through the origin towards the indicated points. Also identify its pointing and its angle of inclination. P=450 kN (+4,+2,+4) T=360 kN (+5,-2,-4) F=320 kN (-3,+5,-3)
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- When the three forces are replaced by an equivalent force-couple system with the force at point O, the couple vector CR is directed parallel to the x-axis. Determine F and the resultant force-couple system.arrow_forwardThe tensions in the cables supporting the pole are T1=T2=T3=60kN. Replace the cable tensions with an equivalent force-couple system with the force acting at O. Express your answer in vector form.arrow_forwardThe pole OB is subjected to the 6004b force at B. Determine (a) the rectangular components of the force; and (b) the angles between the force vector and the coordinate axes.arrow_forward
- Determine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.arrow_forwardThe force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.arrow_forwardFind the forces Q1,Q2, and Q3 so that the two forces systems are equivalent.arrow_forward
- 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_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_forwardTo move the oil drum, the resultant of the three forces shown must have a magnitude of 500 N. Determine the magnitude and direction of the smallest force F that would cause the drum to move.arrow_forward
- Determine the magnitude of the resultant force in N of a coplanar force . The horizontal force P=231N and the couple M=501Nmarrow_forwardThe vertical post is secured by three cables. The cables are pretensioned so that the resultant of the cable forces F, Q, and P is directed along the z-axis. If F = 120 1b, find P and Q.arrow_forward3. Determine the equivalent single force of the shown system of forces and couples. Determine and draw its line of action on the x-y plane. F₁ = 20 lb 3 ft 4 ft F2=10 lb 5 ft M₂=100 lb-ft -3 ft- F3 = 50 lb M₁ = 170 lb-ft Xarrow_forward
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