(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 block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 430 N. The ropes, fastened at different heights, make angles of 50° and 38° with the horizontal. Find the tension in each rope and the magnitude of each tension (in N). (Let T, and T3, represent the tension vectors corresponding to the ropes of length 2 m and 3 m respectively. Round all numerical values to two decimal places.) 38° 50° 3 m 2 m T2 X N |T2l X N T3 X N = |T3| = X N

NAME: 1. Express the follow situation as a vector in component form: a. A boat is traveling at a bearing of 260° at 35 mph. 15⁰. ID: BLOCK: Applications of Vectors b. A plane is traveling at 300 mph as it begins to descend for landing at an angle of depression of lbs. DATE: c. A cart full of children is being pulled up a ramp at an angle of elevation of 3° with a force of 5 1600 lbs. d. A rope is being horizontally pulled by a truck due west of a car stuck in a ditch with a force of

45. Find the components for each vector by resolving the vector into its horizontal and vertical components. a) 3-

(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