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: 2-2

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_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_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?

3_2_g

 If the resultant moment about point A is 4800 N m clockwise, determine the magnitude of F3 if F1 = 300 N and F2 = 400 N

3_2_f

The tool at A is used to hold a power lawnmower blade stationary while the nut is being loosened with the wrench. If a force of 50 N is applied to the wrench at B in the direction shown, determine the moment it creates about the nut at C. What is the magnitude of force F at A so that is creates the opposite moment about C?

3_2_e

The Snorkel Co. produces the articulating boom platform that can support a weight of 550 lb. If the boom is in the position shown, determine the moment of this force about points A, B, and C.

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_2_c

If the force F = 100 N, determine the angle  (090o) so that the force develops a clockwise moment about point O of 20 Nm.

3_2_b

Determine the magnitude and directional sense of the resultant moment of the forces at A and B about point P

3_2_a

Determine the magnitude and directional sense of the resultant moment of the forces at A and B about point O.

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_j

The three cables are used to support the 800-N lamp. Determine the force developed in each cable for equilibrium.

3_1_i

the 200-lb uniform tank is suspended by means of the 6-ft-long cable, which is attached to the sides of the tank and passes over the small pulley located at O. If the cable can be attached at either points A and B, or C and D, determine which attachment produces the least amount of tension in the cable. What is this tension?

3_1_h

Determine the mass of each of the two cylinders if they cause a sag of s = 0.5 m when suspended from the rings at A and B. Note that s = 0 when the cylinders are removed.

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

3_1_e

The unstretched length of spring AB is 2 m. If the block is held in the equilibrium position shown, determine the mass of the block at D.

3_1_d

a 200-kg engine is suspended from a vertical chain at A. A second chain is wrapped around the engine and held in position by the spreader bar BC. Determine the compressive force acting along the axis of the bar and the tension forces in segments BA and CA of the chain. Hint: Analyze equilibrium first at A, then at B.

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

3_1_a

Determine the magnitudes of F1 and F2 so that the particle is in equilibrium