(4) Determine the forces in members BC and CD of the loaded truss. Ans: BC= 22.4 kN T, CD = 42.4 kN C A 4.5 m B C 16.8 kN 4.5 m 9 kN 2.8 m

Four charges are located at the corners of a square, as shown. What are the magnitudes and directions of the forces on each corner? 91 = -10 μC 0.10 m. 44 = +5.0 μC 0.10 m 0.10 m 92 = -10 μC 0.10 m 93 = +5.0 μC

A child exerts a force of 27 N on the handle of a small wagon. If the handle of the wagon is directed upwards 20° from the horizontal, find the amount of work done in moving the wagon 20 m horizontally. Round to the nearest N⚫m. The amount of work done is approximately N⚫m.

(4) A vertical 480 N force is applied as shown on the three-bar frame that is supported at pin A and roller B. Determine the magnitudes of the connection forces at pin C and pin E. Ans: C 824 N, E = 561 N 160 mm B 480 N 60 mm D 80 mm E -150 mm- 60 mm 100 mm

If F, = 30 lb and F, = 40 lb, determine the angles e and ø so that the resultant force is directed along the positive x axis & has a magnitude of FR= 60 Ib.

(3) The 8000 lb steel tank is lifted by a pair of tongs as shown. Determine the magnitude of the pin force at C and the magnitude and the force at the tip E of the tong BCE. Ans: C=4650 lb, E = 6140 lb 4000 lb 14 in. 4000 lb 45 in. A B 35 in. 55 in. 8000 lb -55 in.-

If a force of 60 lb. acts at an angle of 40 to the horizontal, what is its vertical component? 39 lb. 46 lb. 20 lb.

Resolve a force of 10 N into two forces perpendicular to each other so that one component makes an angle of 60° with the 10 N force.

(1) A square foundation mat supports the four columns and each column carries a vertical load shown. Determine the location on the mat of the point of application of the single resultant force of the four loads. Ans: x = 3.5 ft, z=3 ft 20 kips 40 kips 6 ft B 8 kips 12 kips 5 ft

A hiker start from his parked car and walked as follows : 12km due east followed by 8km at 40 north of east , followed by 10km due . Find the components ( along east and north of the net displacement and the magnitude and direction of the displacement