Chapter 4, Problem 79P

The convergent system of 4 forces acting on an absolutely rigid body is balanced (ΣFKY = 0). Determine the projection of the fourth force on the Oy axis if F1y = 160.0 kN; F2y = -46.0 kN; F3y = 36.0 kN;.

If the resultant of the two forces and couple * ?M passes through point O, Determine M 150 mm 150 M- 60° mm 30° 320 N 160 mm 400 N M= 148 N.m CCW M= 96 N.m CCW M= 148 N.m CW M= 96 N.m CW

The two tugboats apply the forces P and Q to the barge, where P = 76 kN and Q = 52 kN.a. Determine the resultant of P and Q. (answer: 46.441 kN)b. If the resultant of the system is R = 120 kN directed upwards, find P and Q. (answer: 178.885 kN)

The combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M. Assume F1 = 420 lb, F2 = 580 lb, F3 = 410 lb, a = 6.8 ft, b = 2.9 ft, c = 3.3 ft, and 0 = 44°.

DETERMINE THE MAGNITUDE RESULTANT OF THE THREE CABLE TENSIONS THAT ACT ON THE HORIZONTAL BOOM IF T1= 900-lb, T2= 500-lb, and T3 = 300-lb.

The control lever is subjected to a clockwise couple of 81 N·m exerted by its shaft at A and is designed to operate with a 230-N pull as shown. If the resultant of the couple and the force passes through A, determine the proper dimension x of the lever.Assume F = 230 N, a = 165 mm, θ= 22°.

30 lb/ft 3 ft 6. The post is embedded into a concrete footing so that it is fixed supported. If the reaction of the concrete on the post can be approximated by the distributed loading shown, determine the intensity of w, and w, so that the resultant force and couple moment on the post due to the loadings are both zero. 3 ft 1.5 ft

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.

Find the forces in the three cable segments and the angles 1,2, and 3.