(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 rectangular tank is 2m wide across its top and is 2m deep. If the tank is filled with water, find the force against the lower half of one end. Sketch the situation first.

A rectangular plate is 4 feet long and 2 feet wide. It is submerged vertically in water with the upper 4 feet edge parallel to and 3 feet below the surface. Find the magnitude of the resultant force against one side of the plate.

Determine the force in each member of the Gambrel roof truss shown. State whether each member is in tension or compression. Use Method of Sections. The answers are AB = 5 kN C, AC = 4 kN T, BC = 0, CE = 4 kN T, BE = 0.2 kN C, BD = 4 kN C, FH = 5 kN C, HG = 4 kN T, EG = 4 kN T, FG = 0, DF = 4 kN C, EF = 0.2 kN C, DE = 0.24 kN T

A force of 7 pounds compresses a 15-inch spring a total of 3 inches. How much work is done in compressing the spring 9 inches? Use Hooke's Law to determine the variable force. Work done: ft-lb

Determine the force in each member of the loaded truss. All triangles are equilateral with side length d. The forces are positive if in tension, negative if in compression. A, Answers: AB= AG = BC = BG= CD= CF = CG= DE= DF= EF= FG = i i B G 2.3 KN F 6.7 KN KN 3 3 3 3 KN KN KN KN KN 3 3 3 KN KN KN D E

At a county fair, there is a contest to see who can pull a heavy crate along the ground with the shortest piece of rope. The rope is attached to the crate at the bottom. By digging in his heels, Albert can pull on a rope with a force of 500 NEwtons. In order to budge the crate, Albert has calculated that he needs to use a force of 425 Newtons horizontally (parallel to the ground). When Albert is in his best pulling position, his hands are 95 cm above the ground.

A wrench 25 cm long lies along the positive y-axis and grips a bolt at the origin. A force is applied in the direction (a.3.-4) at the end of the wrench. Find the magnitude of the force needed to supply 100 N · m of torque to the bolt. (Round your answer to the nearest whole number.)