Chapter 4, Problem 147P

Q4- At what angle must the 800-N force be applied in order that the resultant Rof the two forces has a magnitude of 1000 N? A00 N

do it

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.

F₂= 200 lb Z O F3=400 lb 30° -y Specify the magnitude and coordinate direction angles α₁, B₁, Y₁ of F₁ so that the resultant of the three forces acting on the bracket is FR = {-350k} . Note F3 lies on the x-y plane.

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

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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).

Determine the magnitude and direction of a resultant force equivalent to the given forcesystem, and locate its point of application on the slab. F1 = 100N, F2 = 200N, F3 = 100N, F4 = 200N

The boat is to be pulled onto the shore using two ropes. If the resultant force is to be 80 KN, directed along the direction of the boat, determine the magnitudes of forces T and P acting in each rope and the angle θ of P so that the magnitude of P is a minimum. T acts at 30o .