Chapter 4, Problem 124P

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F1 F2 a C F3 d. F4 E B F5 Consider the following values: - a - 25 m; b - 5 m; c - 25 m; d - 5 m; F1 6 kN; F2 - 7 kN; F3 8 kN; F4 -9 kN; F5 - 10 kN; a = 30°, 0 = 60°, B= 45° 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 177.8 kN.m b) 182.7 kN.m c) 121.9 kN.m d)- 228.6 kN.m e) -297.1 kN.m ) 230.1 kN.m Activate I 5] What is the moment of the force F2 about point E? c) 254.6 kN.m Go to Setting ) 321.3 kN.m a) 111.7 kN.m b) 218.1 kN.m d) 123.7 kN.m e) 101.1 kN.m

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2. Replace the force system acting on the body with an equivalent force-couple at point O. 100 lb CM- M=400 lb-ft 100 1b 30° 6ft 4 ft 100 Ib 4 ft

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Determine whether the force-and-couple system shown can be reduced to a single equivalent force R . If it can, determine R and the point where the line of action of R intersects the yz plane. If it cannot be reduced, replace the given system with an equivalent wrench and determine its resultant, its pitch, and the point where its axis intersects the yz plane.

A concurrent force system in space is composed of three forces described asfollows: P1 has a magnitude of 100 kN and acts through the origin and points x =3, y = 4, z = 2. P2 has a magnitude of 60 kN and acts through the origin and pointsx = 4, y = 1, z = -2. P3 has a magnitude of 80 kN and acts through the origin andpoints x = 2, y = -3, z = 3. Find the x, y and z–components of each force.

4. Two cables A and B are attached to a hook. Cable A exerts a pull with a magnitude and direction defined by the vector A = 6i + 4k (kN). Cable B is also attached to the same hook where cable A is attached, cable B exerts a pull with a magnitude and direction defined by the equation B = -4i +7k (kN). What is the magnitude of the resultant force exerted by both cables? Express your answer in unit of kN.

A force P (200 + R)i + (250+ R)j + 300 k N, is acting at origin of the co-ordinate system, and a moment M = (10+ R)i + (100 - R)j + 30 k N-m, is acting at (0.5,1.0, -0.5) m from origin. Replace the given force system by equivalent wrench system, and determine the point where the axis of wrench will pass through x-z plane. (R = 41)