2_3_f

Determine the magnitude and coordinate direction angles of F3 so that the resultant of the three forces is zero

2_3_e

Determine the angle  between the edges of the sheet-metal bracket.

2_3_d

A force of F = {-40k} lb acts at the end of the pipe. Determine the magnitudes of the components F1 and F2 which are directed along the pipe’s axis and perpendicular to it.

2_3_c

Determine the angle  between the two cords

2_3_b

Determine the magnitude of the projected component of r1 along r2, and the projection of r2 along r1.

2_3_a

Cable BC exerts a force of F = 28 N on the top of the flagpole. Determine the projection of this force along the z-axis of the pole.

2_2_c

 Determine the position (x, y, 0) for fixing cable BA so that the resultant of the forces exerted on the pole is directed along its axis, from B toward O and has a magnitude of 1 kN. Also, what is the magnitude of force F3?

2_2_b2

Determine the lengths of cords ACB and CO. The knot at C is located midway between A and B.

2_1_k

The pole is subjected to the force F, which has components acting along the x, y, z axes as shown. If the magnitude of F is 3 kN, and = 30o and = 75o, determine the magnitudes of F and Fy.

2_1_j

The mast is subjected to the three forces shown. Determine the coordinate direction angles of F1 so that the resultant force acting on the mast is zero.

2_1_i

Express each force in Cartesian vector form

2_1_h

Determine the x and y components of F1 and F3

2_1_g

The upwards acting force of (F1 + F3) kN has to be counter balanced by Fa and Fb. Determine Fa and Fb so that its resultant acts vertically downwards with (F1 + F3) kN

2: 2-3

If the magnitude of the resultant force is to be 500 N, directed along the positive y-axis, determine the magnitude of F and its direction 

2: 2-1

Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x-axis

3_3_f

Using Cartesian vector analysis, determine the resultant moment of the three forces about the base of the column at A. Take F1 = {400i + 300j + 120 k} N.

3_3_d

Determine the smallest force F that must be applied along the rope in order to cause the curved rod, which has a radius of 5 ft, to fail at the support of C. This requires a moment of M = 80 lbft to be developed at C.

3_3_c

The pole supports a 22-lb traffic light. Using Cartesian vectors, determine the moment of the weight of the traffic light about the base of the pole at A.

3_3_b

The curved rod lies in the x-y plane and has a radius of 3 m. If a force of F = 80 N acts at its end as shown, determine the moment of this force about point B.

3_2_h

If it takes a force of F = 125 lb to pull the nail out, determine the smallest vertical force P that must be applied to the handle of the crowbar. Hint: this requires the moment of F about point A to be equal to the moment of P about A. Why?