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_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_2_a

Determine the length of the connecting rod AB by first formulating a Cartesian position vector from A to B and then determining its magnitude

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

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_e

The pipe assembly is subjected to the 80-N force. Determine the moment of this force about point A.

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_3_a

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 O.

3_2_d

A force of 40 N is applied to the wrench. Determine the moment of this force about point O. Solve the problem using both scalar analysis and a vector analysis.

3_1_k

If the bucket and its contents have a total weight of 20 lb, determine the force in the supporting cables DA, DB, and DC

3_1_g

A continuous cable of total length 4 m is wrapped around the small pulleys at A, B, C, and D. If each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d = 2 m.

3_1_f

Determine the force in each cable and the force F needed to hold the 4-kg lamp in the position shown. Hint: First analyze the equilibrium at B; then, using the result for the force in BC, analyze the equilibrium at C