HW #4 problems

HW #4 problems - Learning Module 9: Rigid Bodies Homewerk...

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Unformatted text preview: Learning Module 9: Rigid Bodies Homewerk i. The material in ieaming medules 1—8 covered particles. We listed 3 requirements {0 model an object as a parade. What were these three requirements? How is a rigid body different? Learning Module 10: Moments in Two Dimensions Homework 1, A 20—N force acts on the ieft end of a lever. A force F also acts on the tight end of the iever at 50 degrees to vertieai. Find the magnitude of P such that the beam is in equilibrium. (Hint: sum the moments sized set them equal to zero.) m; .d 5‘ *5; { §5\\$ 2. in your text, work probtem 3.1 (pg. 89). 3. As shown, cable BC supports hat AB. (Point A is 1.5 feet below the ceiling.) Find the moment about A exerted on the bar produced by the cable force. The tension in the cahie is 200 N. no 4. Three 25-11“) forces are shown. Find the resultant force and the resnitant moment about pointA taken positive counter—clockwise. 23““ '31: 1% 5. Calculate the coupie applied to the end of the rod. 6. In your text, work probiem 3.10 (pg. 90). Learning Module 11: Free Body Diagrams in Two Dimensions Homework 1. Draw the FBI) of the beam. How would your FED change if you added an axial compressive force of 6 kips at the end of the beam? 2. The man hotding the briefcase is standing on the step Eadder. We wiii work toward finding the forces between the iaddet and the ftoor, between the man and the ladder, and between the briefcase and the man. The man weighs 145 lb, the briefcase weighs 15 1b, and the laéder weighs 20 lb. When we were working with particies, we teamed that the first step in drawing a FED is deciding what you will draw it of. Start with the system as a whole. Consider that the center of gravity for the system of man~briefcase~iadder is at it feet above the floor 331d one 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 inclades no reactions at the floor. Draw the completed FBD. es. . c. To identify the forces that the man will exert on the Eadder, consider I? {i the FBD ofthe ladder atone. The forces from the floor in part a and b must remain the same. The FBI) shown here is incomplete. What is missing? Draw the completed FBI). Hint: distances from the left leg 2.5 ftosee step Eadder to RL m 0.25 e, to LL : 0.5 s, and to A a 1.75 s. 4f; fig (1. Draw the FBD of the briefcase, é 33’ e. Draw the FBI) for the man. Bear in mind that the forces exerted on the briefcase by the mag} must also be exerted on the man by the briefcase. f f. Summarize what yoe’ve learned about equeE and opposite forces. 3. As shown, a force P pulls a block of weight W. Because the force P is not large enough to overcome the friction between the block and the surface, the system remains in static equilibrium. Which of the free-body diagrams below is correct? 4. As shown, 21 5—113 book rests on the edge of a tabie. Which of the free—body diagrams below is con‘eci? g‘ 1..M.. {M1 I ,gp 4 3 3 L: ‘$ ragga "5 Ah} gag“; 5. Draw the FBD ofprohiem 4.52 in your text (pg. 181). Learning Module 12: Equilibrium in Two Dimensions Homework 1. In your text, work prebiem 4.1% (pg. 172). 2. In your text, work probiem 4.5 (pg. 172). 3. As shown, a 50—113 ferce acts on a hook. Finn? the reactions at A. 4. The tow truck. weighs 6000 lb. The wheelbase (distance between the front wheei and the back wheel) is 10 feet and the center of gravity of the truck is three feet behind the front wheel. The ioaé hangs from the tow truck 2 feet behiné the back wheel. How big can L be before the truck tips over? (Hint: the reaction from the ground on the front wheel goes to zeto just as the tow truck tips.) [:5 L W 5. Three ropes are attacheci to the screw eye, each puiiing through the center of the eye. The middle of the eye is 1.5 inches from the we}? Find the reactions at the wail. 4 6, in your text, work probiem 421 (pg. 175). 7. in your text, work probiem 4.32 (pg. 177). ...
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This note was uploaded on 04/21/2008 for the course MAE 206 taught by Professor Annahoward during the Fall '08 term at N.C. State.

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HW #4 problems - Learning Module 9: Rigid Bodies Homewerk...

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