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NCSU MAE 206 - LM11

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Learning Module 11: Free Body Diagrams inTwo DimensionsHomework1. Draw the FBD of the beam. How would your FBD change if you added an axial compressive force of 6 kips at the end ofthe beam? 2. The man holding the briefcase is standing on the step ladder. We will work towardfinding the forces between the ladder and the floor, between the man and the ladder, andbetween the briefcase and the man. The man weighs 145 lb, the briefcase weighs 15 lb,and the ladder weighs 20 lb.When we were working with particles, we learned that the first step in drawing a FBD isdeciding what you will draw it of. Start with the system as a whole. Consider that thecenter of gravity for the system of man-briefcase-ladder is at 4 feet above the floor andone foot from the left leg of the ladder.a. Identify the type of reaction forces that the floor can provide. b. The FBD shown here is incomplete because it includes no reactions at the floor.Draw the completed FBD. 2/4/2009MAE206 FBD in 2-dim Homework…ncsu.edu/…/lm11_homework.html?p… 1/3c. To identify the forces that the manwill exert on the ladder, consider theFBD of the ladder alone. The forcesfrom the floor in part a and b mustremain the same. The FBD shownhere is incomplete. What is missing?Draw the completed FBD. Hint:distances from the left leg of the stepladder to RL = 0.25 ft, to LL = 0.5ft, and to A = 1.75 ft. d. Draw the FBD of the briefcase. e. Draw the FBD for the man. Bear in mind that the forces exerted on the briefcase by the man mustalso be exerted on the man by the briefcase.f. Summarize what you've learned about equal and opposite forces. 3. Draw the FBD of problem 3.98 in your text (pg. 136). Make sure to use distances, all forces andmoments (even if they will eventually solve to be zero), and labels on everything.4. Consider Fig. P3.102 on pg. 137. What loads (forces and/or moments) would exist on the see-saw at the hinge at C?5. Draw the FBD for the roler-rod-roller combination between the wall and point C (pg. 139).6. Draw the FBD of problem 4.52 in your text (pg. 181).7. Draw the FBD of rod ABC in problem 3.148 in your text (pg. 152).2/4/2009MAE206 FBD in 2-dim Homework…ncsu.edu/…/lm11_homework.html?p… 2/38. (extra credit) Consider the chart on page 161. Draw an example problem (like the ones I've given you here) for each ofthe five types of supports. Make sure that you have no more than 3 unknowns in each of your figures. 2/4/2009MAE206 FBD in 2-dim Homework…ncsu.edu/…/lm11_homework.html?p…


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NCSU MAE 206 - LM11

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