Chapter 2, Problem 109P

If 6 = 30° and the resultant force is to be 6 kN directed along the positive y axis, determine the magnitudes of F, and F, and the angle 0 if F, is required to be a minimum.

The resultant of the three cable tension acts along the y-direction. Determine T1 given that T2 = 980 N.

30 The force F= 900 N acts on the frame. Resolve this force into components acting 900 N along members AB and AC, and determine the magnitude of each component.

The force acting on the gear tooth is F = 20 lb. Resolve this force into two components acting along the lines aa and bb.

The force F = 120 lb acts on the frame. Resolve this force into components acting along members AB and AC, and determine the magnitude of each component. 30° 25° 120/b

Two cables are used to secure the overhang boom in position and support the 1875 N load. If the resultant force is directed along the boom from point A towards O, determine the values of x and z for the coordinates of point Cand the magnitude of the resultant force. Set Fg = 1685 N (where position of Fg along x axis = -2 m, along y axis = -6 m and along z axis = 3 m) and FC = 2050 N (where position of Fc along y axis = -6 m). Determine the magnitude of the resultant force in kN is (round to two decimal places), and the value of x coordinate of point Cin m (round to two decimal places), and the value 12 mB 3 m 6 m of z coordinate of point Cin m (round to two decimal places).

< Three forces act on the bracket. Determine the magnitude of F₂ so that the resultant force is directed along the positive u axis and has a magnitude of 56 lb. F3 = 52 lb F₁ = 80 lb

Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis F = 60 lb 60° F = 70 Ib F = 50 lb

Three chains act on the bracket in such a way as to generate a resultant force of 2224 N. If two of the chains are subjected to known forces (P1 and P2) as shown in the figure, determine the orientation Ѳ of the third chain, measured clockwise, from the positive x axis, so that the magnitude of the force, F, on this chain is minimal. All forces lie in the x - y plane. What is the magnitude of F? TIP: First find the resultant of the two known forces, the force F acts in this direction. Note: P1 = 400 lb and P2 = 300 lb