Determine the equivalent force-couple system at the pin (point E) and roller support (point A). Also, compute the x-intercept of the line of action of the system resultant treated as a single force R of the three forces acting on the truss at the pin and roller support.
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- The two forces of magnitude F=30kN form a couple. Determine the corresponding couple-vector.Determine the wrench that is equivalent to the force-couple system shown and find the coordinates of the point where the axis of the wrench crosses the xz-plane.2. The asymmetric roof truss (Figure 1) is of the type used when a near normal angle of incidence of sunlight onto the south facing surface ABC is desirable for solar energy purposes. The five vertical loads represent the effects of the weights of the truss and supported roofing materials. The 400 N load represents the effect of wind pressure. Determine the equivalent force couple system at A. Also compute the x intercept of the line of action of the system resultant treated as a single force R.
- Determine the magnitude of the resultant force (in N) of the coplanar force system shown in the figure below where the horizontal force P = 200 N and the couple M = 621 Nm. Determine the angle (in degrees) that the resultant makes with the positive x-axis, which is in the same direction as the horizontal force P. If the resultant force calculated in Q8 is placed at A, determine the magnitude of the couple created in Nm. Determine the distance from A (in m) at which this resultant should be placed so that the system is replaced entirely by a single force. If the resultant force calculated in Q8 is placed at O, determine the magnitude of the couple created in Nm. Determine the distance from O (in m) at which this resultant should be placed so that the system is replaced entirely by a single force.Two force couples and a concentrated 90 lb-ft couple on the beam. Assume the 90 lb-ft couple acts at the beam centerline and the distance 1.25 ft vertically between the 125 lb forces. Similar to the example presented in class, compute the resultant moment vector two different ways (the answers should be the same) A. Recognize force-couple pairs and use r x F between their lines of action, plus add in the couple-moment. B. Sum moments of all forces and moment couple about a point A Please show/provide all written work so I can understand. Thank you!Question Determine the magnitude of the resultant force (in N) of the coplanar force system shown in the figure below where the horizontal force P = 180 N and the couple M = 594 Nm. Determine the angle (in degrees) that the resultant makes with the positive x-axis, which is in the same direction as the horizontal force P. If the resultant force calculated in Q8 is placed at A, determine the magnitude of the couple created in Nm. Determine the distance from A (in m) at which this resultant should be placed so that the system is replaced entirely by a single force. If the resultant force calculated in Q8 is placed at O, determine the magnitude of the couple created in Nm. Determine the distance from O (in m) at which this resultant should be placed so that the system is replaced entirely by a single force.
- what is the resultant for the parallel force system?1. Determine the equivalent force-couple system at A of the system shown on the figure.Determine the magnitude of the resultant force (in N) of the coplanar force system shown in the figure below where the horizontal force P = 200 N and the couple M = 621 Nm. If the resultant force calculated in Q8 is placed at O, determine the magnitude of the couple created in Nm Determine the distance from O (in m) at which this resultant should be placed so that the system is replaced entirely by a single force.
- 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.The four forces shown act on the rollers of an in-line skate. Determine the equivalent force-couple system, with the force acting at O (the ankle joint of the skater).The figure shows one-half of a universal coupling known as the Hooke's joint. The coupling is acted on by the three couples shown: (a) the input couple consisting of forces of magnitude P, (b) the output couple C0, and (c) the couple formed by bearing reactions of magnitude R. If the resultant of these couples is zero, compute R and C0 for P=750lb.