Problem 425
In the Fink truss shown in Fig. P-425, the web members BC and EF are perpendicular to the inclined members at their midpoints. Use the method of sections to determine the force in members DF, DE, and CE.
 

Problem 424
For the truss shown in Fig. P-424, determine the force in BF by the method of joints and then check this result using the method of sections. Hint: To apply the method of sections, first obtain the value of BE by inspection.
 

Problem 423
Use the method of sections to determine the force acting in members DF, EF, and EG of the Howe truss described in Problem 409.
 

Problem
A 30° right triangular lot has the long leg measuring 67 m. On the long leg and 15 m from the short leg, is a peg to which a goat is tied such that the farthest distance its mouth can reach is 30 m from the peg. Find the area inside the lot from which the goat can graze.
 

Problem
Arcs of quarter circles are drawn inside the square. The center of each circle is at each corner of the square. If the radius of each arc is equal to 20 cm and the sides of the square are also 20 cm. Find the area common to the four circular quadrants. See figure below.
 

Problem
Find the area of the largest right triangle whose hypotenuse is fixed at c.
 

         

Problem
Particles A and B are elevated 12 meters high from a given reference base. Particle A is projected down an incline of length 20 meters at the same time particle B is let to freely fall vertically. Find the velocity of projection of particle A if both particles strikes the base at the same time.
 

Example
An isosceles triangle has an altitude equal to 12 inches and a perimeter equal to 36 inches. Find the length of the base and the length of the equal sides.
 

Problem
Benjie and Jerwin is running in opposite directions in a 400-meter circular track and meet each other every 35 seconds. If Benjie can complete one track in 65 seconds. How long does it take for Jerwin to run 400 meters?
 

Problem
Runners A and B start together in a race around a 900-ft oval track. Runner A is making a speed of 27 ft/sec and runner B at 22.5 ft/sec. How long will it take runner A to be exactly one circumference ahead of runner B.