2_3_f

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

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_b

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

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_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_1_f

Determine the resultant force and its direction measured from the positive x-axis.

2_1_e

Use vector decomposition to determine the resultant force and its angle relative to the positive x-axis

2_1_d

Determine the angle  for F3 so that the resultant force is directed along the positive x-axis

2_1_c

Use the trigonometric laws to find the resultant force and its direction. Use the vector decomposition method to verify your results.

2_1_b

Find the resultant and its angle relative to the positive x-axis

Picture:

2_1_a

Problem: Use the trigonometric laws to find the resultant force and determine its angle (clockwise positive angle) relative to the positive x-axis

2: 2-2

If = 60o and F = 450 N, determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x-axis

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_1_c

The gusset plate is subjected to the forces of four members. Determine the force in member B and its proper orientation  for equilibrium. The forces are concurrent at point O. Take F = 12 kN.

3_1_b

Determine the magnitude and angle  of F so that the particle is in equilibrium