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Mechanics: Engineering Statics and Dynamics: Chapter 3
1/15
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Book Home > Table of Contents > Chapter 3 > Problems
Chapter 3: Equilibrium Particle
PROBLEMS
31. Determine the magnitudes of F1 and F2 so that the particle is in equilibrium.
Prob. 31
32. Determine the magnitude and direction of F so that the particle is in equilibrium.
Prob 32
33. Determine the magnitude of F and the orientation of the 750-N force so that the particle is in equilibrium.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
2/15
Prob 33
*34. Determine the magnitude and angle of F so that the particle is in equilibrium.
Prob 34
35. The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine the magnitudes of F and T for equilibrium. Take = 30. 36. The gusset plate is subjected to the forces of four members. Determine the force in member B and its proper orientation for equilibrium. The forces are concurrent at point O. Take F = 12 kN.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
3/15
Prob 35/6
37. Determine the maximum weight of the engine that can be supported without exceeding a tension of 450 lb in chain AB and 480 lb in chain AC.
Prob 37
*38. The 200-kg engine is suspended from a vertical chain at A. A second chain is wrapped around the engine and held in position by the spreader bar BC. Determine the compressive force acting along the axis of the bar and the tension forces in segments BA and CA of the chain. Hint: Analyze equilibrium first at A, then at B.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
4/15
Prob 38
39. Cords AB and AC can each sustain a maximum tension of 800 lb. If the drum has a weight of 900 lb, determine the smallest angle at which they can be attached to the drum.
Prob 39
310. The 500-lb crate is hoisted using the ropes AB and AC. Each rope can withstand a maximum tension of 2500 lb before it breaks. If AB always remains horizontal, determine the smallest angle to which the crate can be hoisted.
Prob 310
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Engineering Mechanics: Statics and Dynamics: Chapter 3
5/15
311. Two electrically charged pith balls, each having a mass of 0.2 g, are suspended from light threads of equal length. Determine the resultant horizontal force of repulsion, F, acting on each ball if the measured distance between them is r = 200 mm.
Prob 311
*312. The towing pendant AB is subjected to the force of 50 kN which is developed from a tugboat. Determine the force that is in each of the bridles, BC and BD, if the ship is moving forward with constant velocity.
Prob 312
313. Determine the stretch in each spring for equilibrium of the 2-kg block. The springs are shown in the equilibrium position. 314. The unstretched length of spring AB is 2 m. If the block is held in the equilibrium position shown, determine the mass of the block at D.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
6/15
Prob 313/14
315. The springs AB and BC have a stiffness of 500 N/m and an unstretched length of 6 m. Determine the horizontal force F applied to the cord which is attached to the small pulley B so that the displacement of the pulley from the wall is d = 1.5 m. *316. The springs AB and BC have a stiffness of 500 N/m and an unstretched length of 6 m. Determine the displacement d of the cord from the wall when a force F = 175 N is applied to the cord.
Probs. 315/16
317. Determine the force in each cable and the force F needed to hold the 4-kg lamp in the position shown. Hint: First analyze the equilibrium at B; then, using the result for the force in BC, analyze the equilibrium at C.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
7/15
Prob. 317
318. The motor at B winds up the cord attached to the 65-lb crate with a constant speed. Determine the force in cord CD supporting the pulley and the angle for equilibrium. Neglect the size of the pulley at C. 319. The cords BCA and CD can each support a maximum load of 100 lb. Determine the maximum weight of the crate that can be hoisted at constant velocity, and the angle for equilibrium.
Probs. 318/19
*320. The sack has a weight of 15 lb and is supported by the six cords tied together as shown. Determine the tension in each cord and the angle for equilibrium. Cord BC is horizontal. 321. Each cord can sustain a maximum tension of 200 lb. Determine the largest weight of the sack that can be supported. Also, determine of cord DC for equilibrium.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
8/15
Probs. 320/21
322. The block has a weight of 20 lb and is being hoisted at uniform velocity. Determine the angle for equilibrium and the required force in each cord. 323. Determine the maximum weight W of the block that can be suspended in the position shown if each cord can support a maximum tension of 80 lb. Also, what is the angle for equilibrium?
Probs. 322/23
*324. Two spheres A and B have an equal mass and are electrostatically charged such that the repulsive force acting between them has a magnitude of 20 mN and is directed along line AB. Determine the angle , the tension in cords AC and BC, and the mass m of each sphere.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
9/15
Prob. 324
325. Blocks D and F weigh 5 lb each and block E weighs 8 lb. Determine the sag s for equilibrium. Neglect the size of the pulleys. 326. If blocks D and F weigh 5 lb each, determine the weight of block E if the sag s = 3 ft. Neglect the size of the pulleys.
Probs. 325/26
327. The 30-kg block is supported by two springs having the stiffness shown. Determine the unstretched length of each spring after the block is removed.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
10/15
Prob. 327
*328. Three blocks are supported using the cords and pulleys. If they have weights of WA = W, WB = 0.25W, and WC = W, determine the angle for equilibrium.
Prob. 328
329. A continuous cable of total length 4 m is wrapped around the small pulleys at A, B, C, and D. If each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d = 2 m.
Prob. 329
330. Prove Lamis theorem, which states that if three concurrent forces are in equilibrium, each is proportional to the sine of the angle of the other two; that is, P/sin = Q/sin = R/sin .
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Engineering Mechanics: Statics and Dynamics: Chapter 3
11/15
Prob. 330
331. A vertical force P = 10 lb is applied to the ends of the 2-ft cord AB and spring AC. If the spring has an unstretched length of 2 ft, determine the angle for equilibrium. Take k = 15 lb/ft. *332. Determine the unstretched length of spring AC if a force P = 80 lb causes the angle = 60 for equilibrium. Cord AB is 2 ft long. Take k = 50 lb/ft.
Probs. 331/32
333. The 20-kg flowerpot is suspended from three wires and supported by the hooks at B and C. Determine the tension in AB and AC for equilibrium.
Prob. 333
334. A car is to be towed using the rope arrangement shown. The towing force required is 600 lb. Determine the minimum length l of rope AB so that the tension in either rope AB or AC does not exceed 750 lb. Hint: Use the equilibrium condition at point A to determine the required angle for attachment, then determine l using trigonometry applied to triangle ABC.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
12/15
335. Determine the mass of each of the two cylinders if they cause a sag of s = 0.5 m when suspended from the rings at A and B. Note that s = 0 when the cylinders are removed.
Prob. 335
*336. The sling BAC is used to lift the 100-lb load with constant velocity. Determine the force in the sling and plot its value T (ordinate) as a function of its orientation , where 0 90.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
13/15
Prob. 336
337. The 10-lb lamp fixture is suspended from two springs, each having an unstretched length of 4 ft and stiffness of k = 5 lb/ft. Determine the angle for equilibrium.
Prob. 337
338. The 200-lb uniform tank is suspended by means of a 6-ft-long cable, which is attached to the sides of the tank and passes over the small pulley located at O. If the cable can be attached at either points A and B, or C and D, determine which attachment produces the least amount of tension in the cable. What is this tension?
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Engineering Mechanics: Statics and Dynamics: Chapter 3
14/15
Prob. 338
339. A 4-kg sphere rests on the smooth parabolic surface. Determine the normal force it exerts on the surface and the mass mB of block B needed to hold it in the equilibrium position shown.
Prob. 339
*340. The 30-kg pipe is supported at A by a system of five cords. Determine the force in each cord for equilibrium.
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Engineering Statics and Dynamics: Chapter 3
15/15
Prob. 340 previous | next
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Engineering Mechanics: Statics and Dynamics: Chapter 3
1/11
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Book Home > Table of Contents > Chapter 3 > Problems
Chapter 3: Equilibrium Particle
PROBLEMS
341. The joint of a space frame is subjected to four forces. Strut OA lies in the xy plane and strut OB lies in the yz plane. Determine the forces acting in each of the three struts required for equilibrium.
Prob. 341
342. Determine the magnitudes of F1, F2, and F3 for equilibrium of the particle.
Prob. 342
343. Determine the magnitudes of F1, F2, and F3 for equilibrium of the particle.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
2/11
Prob. 343
* 344. Determine the magnitudes of F1, F2, and F3 for equilibrium of the particle. F = {9i 8j 5k} kN.
Prob. 344
345. The three cables are used to support the 800-N lamp. Determine the force developed in each cable for equilibrium.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
3/11
Prob. 345
346. Determine the force in each cable needed to support the 500-lb load.
Prob. 346
347. Determine the stretch in each of the two springs required to hold the 20-kg crate in the equilibrium position shown. Each spring has an unstretched length of 2 m and a stiffness of k = 300 N/m.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
4/11
Prob. 347
*348. If the bucket and its contents have a total weight of 20 lb, determine the force in the supporting cables DA, DB, and DC.
Prob. 348
349. The 2500-N crate is to be hoisted with constant velocity from the hold of a ship using the cable arrangement shown. Determine the tension in each of the three cables for equilibrium.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
5/11
Prob. 349
350. The lamp has a mass of 15 kg and is supported by a pole AO and cables AB and AC. If the force in the pole acts along its axis, determine the forces in AO, AB, and AC for equilibrium. 351. Cables AB and AC can sustain a maximum tension of 500 N, and the pole can support a maximum compression of 300 N. Determine the maximum weight of the lamp that can be supported in the position shown. The force in the pole acts along the axis of the pole.
Probs. 350/51
*352. Determine the tension in cables AB, AC, and AD, required to hold the 60-lb crate in equilibrium.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
6/11
Prob. 352
353. The bucket has a weight of 20 lb. Determine the tension developed in each cord for equilibrium.
Prob. 353
354. The mast OA is supported by three cables. If cable AB is subjected to a tension of 500 N, determine the tension in cables AC and AD and the vertical force F which the mast exerts along its axis on the collar at A.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
7/11
Prob. 354
355. The ends of the three cables are attached to a ring at A and to the edge of a uniform 150kg plate. Determine the tension in each of the cables for equilibrium. *356. The ends of the three cables are attached to a ring at A and to the edge of the uniform plate. Determine the largest mass the plate can have if each cable can support a maximum tension of 15 kN.
Probs. 355/56
357. The 500-lb crate is suspended from the cable system shown. Determine the force in each segment of the cable, i.e., AB, AC, CD, CE, and CF. Hint: First analyze the equilibrium of point A, then using the result for AC, analyze the equilibrium of point C.
Prob. 357
358. The 80-lb chandelier is supported by three wires as shown. Determine the force in each
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Engineering Mechanics: Statics and Dynamics: Chapter 3
8/11
wire for equilibrium. 359. If each wire can sustain a maximum tension of 120 lb before it fails, determine the greatest weight of the chandelier the wires will support in the position shown.
Probs. 358/59
*360. Determine the force in each cable used to lift the 9.50-Mg surge arrester at constant velocity.
Prob. 360
361. The 800-lb cylinder is supported by three chains as shown. Determine the force in each chain for equilibrium. Take d = 1 ft.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
9/11
Prob. 361
362. The triangular frame ABC can be adjusted vertically between the three equal-length cords. If it remains in a horizontal plane, determine the required distance s so that the tension in each of the cords, OA, OB, and OC, equals 20 N. The lamp has a mass of 5 kg.
Prob. 362
363. Determine the force in each cable needed to support the 3500-lb platform. Set d = 4 ft.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
10/11
Prob. 363
*364. The 25-kg flowerpot is supported at A by the three cords. Determine the force acting in each cord for equilibrium. 365. If each cord can sustain a maximum tension of 50 N before it fails, determine the greatest weight of the flowerpot the cords can support.
Probs. 364/65 previous | next
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Engineering Mechanics: Statics and Dynamics: Chapter 3
11/11
2009 Pearson Education - Legal Notice - Privacy Policy - Permissions Technical Support: Pearson 24/7
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Engineering Mechanics: Statics and Dynamics: Chapter 3
1/5
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Review Problems
Book Home > Table of Contents > Chapter 3 > Review Problems
Chapter 3: Equilibrium Particle
REVIEW PROBLEMS
366. The pipe is held in place by the vice. If the bolt exerts a force of 50 lb on the pipe in the direction shown, determine the forces FA and FB that the smooth contacts at A and B exert on the pipe.
Prob. 366
367. When y is zero, the springs sustain a force of 60 lb. Determine the magnitude of the applied vertical forces F and F required to pull point A away from point B a distance of y = 2 ft. The ends of cords CAD and CBD are attached to rings at C and D.
Prob. 367
*368. When y is zero, the springs are each stretched 1.5 ft. Determine the distance y if a force of F = 60 lb is applied to points A and B as shown. The ends of cords CAD and CBD are attached
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Engineering Mechanics: Statics and Dynamics: Chapter 3
2/5
to rings at C and D.
Prob. 368
369. The 5-ft-long cord AB is attached to the end B of a spring having an unstretched length of 5 ft. The other end of the spring is attached to a roller C so that the spring remains horizontal as it stretches. If a 10-lb weight is suspended from B, determine the angle of cord AB for equilibrium.
Prob. 369
370. The uniform 50-kg crate is suspended by using a 2-m-long cord that is attached to the sides of the crate and passes over the small pulley at O. If the cord can be attached at either points A and B, or C and D, determine which attachment produces the least amount of tension in the cord and specify the cord tension in this case.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
3/5
Prob. 370
371. The man attempts to pull the log at C by using the three ropes. Determine the direction in which he should pull on his rope with a force of 80 lb, so that he exerts a maximum force on the log. What is the force on the log for this case? Also, determine the direction in which he should pull in order to maximize the force in the rope attached to B. What is this maximum force?
Prob. 371
*372. The scale consists of a known weight W which is suspended at A from a cord of total length L. Determine the weight w at B if A is at a distance y for equilibrium. Neglect the sizes and weights of the pulleys.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
4/5
Prob. 372
373. Determine the maximum weight W that can be supported in the position shown if each cable AC and AB can support a maximum tension of 600 lb before it fails.
Prob. 373
374. If the spring on rope OB has been stretched 2 in. and fixed in place as shown, determine the tension developed in each of the other three ropes in order to hold the 225-lb weight in equilibrium. Rope OD lies in the xy plane.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
5/5
Prob. 374
375. The joint of a space frame is subjected to four member forces. Member OA lies in the x y plane and member OB lies in the yz plane. Determine the forces acting in each of the members required for equilibrium of the joint.
Prob. 375 previous
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Sociocultural TrendsTheory and Observation on Social Change1The technological changes are self-evident: We are not discussing technological change.2The Study of Social Change It is a subset of sociology. Sociology is a social science. Older scientif

Strayer - PSY - PSY 100

Lesson:LearningwithChangeandExperienceandMemoryPageTitle:LessonIntroduction PageNumber:1 Togetwhereyouaretoday,youhadtolearnalotofinformation.Inordertousethatinformation, youhadtorememberit. Inthislesson,wewillanalyzetheunderlyingprinciplesandbasisofpsyc

Strayer - PSY - PSY 100

Lesson:Consciousness:Sleep,Dreams,Hypnosis,andDrugsPageTitle:LessonIntroduction PageNumber:1 Doyoueverwakeupandwonderifyouweredreamingorifyourdreamreallyhappened?You arentalone.Differentstagesofsleepcanprovideyouwithdifferentsleepexperiences. Thislessoni

Strayer - PSY - PSY 100

Week3:Consciousness;LearningwithChange,Experience,andMemoryQuiz1.Whattermdopsychologistsusetodesignateourpersonalawarenessoffeelings,sensations, andthoughts?(Points:1) thinking cognition conscience consciousness2.Oursleepwakecyclefollowsa(n)_rhythm.(Poi

Strayer - PSY - PSY 100

Week3:Consciousness;LearningwithChange,Experience,andMemoryQuiz1.Pavlovplacedmeatpowderinthemouthsofdogs,andtheybegantosalivate.Thefoodactedasa(an)_. (Points:1) unconditionedresponse unconditionedstimulus conditionedresponse conditionedstimulus2.AfterPa

Randolph-Macon - LIT - 312

Qj#10 Thomas RyanSomething that was beyond the scope of an instantAlthough this is a very short excerpt it does define what the story of The Birthmark is about. Her husband was able to remove her birthmark so that he was now pleased with her appearance

Randolph-Macon - LIT - 312

Ann Bradstreet Thomas Ryanfor From one father we are not thou by old Adam wast begot but my arise is from above whence my dear father I do love.The purpose of this quote is to show the difference between two different types of people, those who strive f

Randolph-Macon - LIT - 312

Dalton Saddler 9/4/08 ENGL 4251 QJ #1 since no expedition of as many as have gone to those lands ever saw itself in such grave dangers or had such a wretched and disastrous end as that which God permitted us to suffer on account of our sins (de Vaca, 159)

Randolph-Macon - LIT - 312

Thewaythattheytellthisstoryfrommanydifferentpeoplespointofviewfitsthis mysteryverywell.Witheachpersonthereaderlearnsalittlebitmoreaboutthe situation.Eachcharactergivesbackgroundsofoneanothersothatthereaderisnotleft guessingaboutwhatishappeninginthestory.T

Randolph-Macon - LIT - 312

#1B.Realismisastyleofwritingthattakeswhichdrawsitsinfluencesfromeveryday life.Manyoftheworkscoveredthissemesterhavetakenreallifesituationsandputs themintoaformofliterature.ManyoftheseexamplescanbedrawnfromtheHarlemRenaissance.The realismcomesfromtheraci

Randolph-Macon - LIT - 312

Englishpaperoutlineandideas

Randolph-Macon - LIT - 312

FinalShort essay questions (25 points each) 2. Both Ligeia and Fall of the House of Usher are very good examples of the gothic style of writing. The setting that they are both located in is dark and gloomy with a haunted atmosphere. In these stories both

Randolph-Macon - LIT - 312

Stereotypes play a large role in the Tales of Huckleberry Finn whether it is involving Jim or the duke and the dauphin. People from all walks of life can be deceitful and it does ethnicity or religion does not matter. This book is filled with con artists

Randolph-Macon - LIT - 312

Racism in the time that Huckleberry Finn was written was beginning to be removed from society but was still very present. Mark Twain addressed many issues in this novel and one that was very prevalent was slavery in the south. At the point in time that th

Randolph-Macon - LIT - 312

KwameDawesconsidershimselfapoetfirstandletsallofhisothertalentsfallin line.HewasborninGhanain1962andeducatedinJamaicamostofhislife.Heisnow aprofessorattheUniversityofSouthCarolina.Hehasbeenteachingthereeversince 1992.Inthelecturehespokeabouthislifeandsome

Randolph-Macon - LIT - 312

Mark twin Hucks moral development throughout the novel is seen through his growing relationship with Jim and the choices he rules to follow his heart rather than society When he tricks Jim on pg95 362 David L smith Pg 223

Randolph-Macon - LIT - 312

Thomas Ryan New Spain pg 131-134 In proscribing native ceremonies and dances, in suppressing and destroying ceremonial objects, especially those associated with kachina practices, in publically punishing native priests and medicine men, the reverend fathe

Randolph-Macon - LIT - 312

Robert Frost1874-1963Chomas Ryan T lick to edit Master subtitle styleStuart Bowles Jordan Davis7/16/10BiographyRobert Frost was born in SanFrancisco to William Prescott Frost and Isabelle Moddie March 26, 1874Mr. William Frost was ajournalist and

Randolph-Macon - LIT - 312

Role playing reportDear John Locke, Oct 15, 1718You most definitely do not know who I am but my name is Jonathan Edwards and I was stricken by your book An Essay Concerning Human Understanding. Although I am young I have had many thought concerning huma

Randolph-Macon - LIT - 312

Role playing report Thomas Ryan The following letters involve the life and teachings of Jonathan Edwards as a student as well as once he became a Reverend. During Jonathan Edwardss life he saw a large change in the world. America was establishing itself a

Randolph-Macon - LIT - 312

II. Written Component (50%) -individual grade (should not be done in conjunction with your partner) Using the same author, take on that writer's character and personality and create three letters that he/she might have sent in his/her lifetime. You will n

Randolph-Macon - LIT - 312

TheBridenarticleonpgs310318mainlyreflectsontheartusedinthebook. TheartistsnamewasEdwardWindsorKemblewhowasworkingforlifepriortomaking theillustrationsinthisbook.MarkTwainwasoriginallyunsurewhetherornothewas goingtohavethebookillustrated.Hebegantopublishth

Randolph-Macon - LIT - 312

Thomas RyanThe History of New MexicoOur hope given up entirely lost, Were almost all wishing for death. But the great Providence, pitying, which is always more quick in helping us as more firmly trust in it,This is a key part of the text because this s

Randolph-Macon - LIT - 312

The Law of Life and To Build a Fire by Jack London are Man vs. Nature themed conflicts. In each the men who are the main characters are coming to the realization that nature is an unstoppable force that does not care about anyone. Nature is a force and no

UC Davis - BIS103 - BIS103

BIS103 -001 (Spring 2007) Midterm #3 (finals) Instructor: Oliver Fiehn A- GroupPlease, check appropriate box below. Undergraduate student Open enrollment Completing incomplete Graduate studentJune 08, 2007 Student Name_ Student ID #_This exam consists

UC Davis - BIS103 - BIS103

Spring 2007 1. D glucose cant form hemiactal 2. ? B (electrons from glucose transferred to NAD+ and FAD) 3. ? CE (TMI, enolase not in mitochondrial matrix) 4. C (Lipoic acid can from a thioester!) 5. E (alpha ketoglutarate dehydrogenase needs TPP) 6. E (G

UC Davis - BIS103 - BIS103

UC Davis - BIS103 - BIS103

BIS103-002 (Winter 2009) Midterm #2 Instructor: Oliver FiehnFebruary 23, 2009 A-group Student Name_ Student ID #_Please, check appropriate box below. Undergraduate student Open enrollment Completing incomplete Graduate student This exam consists of 39 q

UC Davis - BIS103 - BIS103

BIS103-001 (Winter 2010) Midterm #2 Instructor: Oliver FiehnFebruary 18, 2010 Student Name_ Student ID #_Please, check appropriate box below. Undergraduate student Open enrollment Completing incomplete Graduate student This exam consists of 50 questions

UC Davis - BIS103 - BIS103

Synthesis of Carbohydrates and GluconeogenesisBoth Both glycolysis and gluconeogenesis are thermodynamically feasible but do not happen at time but use different routes, routes, at the same the same time but use different because control points regulate

UC Davis - BIS103 - BIS103

Other pigments (e.g. carotenoids) absorb at different wavelengths and help harvesting photonsConversion of light energy to chemical energyConversion of light energy to chemical energye s s a ge : ron e home m Tak d P-elect elocalizethe d state orbed b

SUNY Oswego - HIS - 215

History 215 Notes4/1 CAUSE The people were in hard times, turned towards someone who they believed could relieve the EFFECT Power given to individuals who eventually tried to become dictators, the people now wanted to up rise and find a new leader. Argen