Learning Goal: To replace force-couple systems with an equivalent force by specifying the magnitude and direction of the

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Learning Goal To Replace Force Couple Systems With An Equivalent Force By Specifying The Magnitude And Direction Of The 1 (53.03 KiB) Viewed 39 times

Learning Goal: To replace force-couple systems with an equivalent force by specifying the magnitude and direction of the equivalent force and the location where the force needs to be applied. Certain force-couple systems can be replaced by a single force. The requirement is that the lines of action of the resultant force, FR, and the resultant couple moment, (MR, are perpendicular to each other. This is equivalent to saying the following types of force systems can be simplified to a single force: Figure < 1 of 3 > F im-* 1m + m + m-

Part A - Finding the equivalent force on a Warren truss The object in the diagram below is called a Warren truss. (Figure 1) For the system of parallel forces Fi = 450 N, F, = 920 N, and F3 = 1910 N, determine the equivalent resultant force of the system by finding both the magnitude of the force and the distance from point A where the force needs to be applied. Express your answers, separated by a comma, to three significant figures. View Available Hint(s) IVO AQ U vec o o ? Fr,d= N, m Submit

Part B - Analyzing the force-couple system on a bracket For the bracket shown below, Fi = 180 lb, F2 = 60 lb, and M = 570 lb. ft.(Figure 2)Replace this force and couple system with an equivalent force by specifying the magnitude of the force, the direction in which the force acts, and where the force's line of action intersects member AB as measured from A. Express your answers, separated by commas, to three significant digits. The angle should be measured counterclockwise from the positive x axis (parallel to segment CB). ► View Available Hint(s) PO AIu vec O ? Fr, Or, d= lb, ft Submit