Rigid Body 3D Ans

7/26/2019 Rigid Body 3D Ans

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Engineering Mechanics Assignment No: III

A uniform pipe cover of radius r 5 240 mm and mass 30 kg is heldin a horiontal position !" the ca!le CD# Assuming that the !earingat B does not e$ert an" a$ial thrust% determine the tension in theca!le and the reactions atA and B#

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2/23


A 450'l! load hangs from the corner C of a rigid pieceof pipeABCD (hich has !een !ent as sho(n# )he pipeis supported !" the !all'and'socket *ointsA and D%

(hich are fastened% respectivel"% to the +oor and to avertical (all% and !" a ca!le attached at the midpointE of the portion BC of the pipe and at a point G on the(all# ,etermine -a. (here G should !e located if thetension in the ca!le is to !e minimum% -b. thecorresponding minimum value of the tension#

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3/23


)he /'m poleABC is acted upon !" a 455'N force as sho(n# )hepole is held !" a !all'and'socket *oint atA and !" t(o ca!les BDand BE# ,ra( the free'!od" diagram needed to determine thetension in each ca!le and the reaction atA#

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4/23


)(o transmission !elts pass over sheaves

(elded to an a$le supported !" !earings at Band D# )he sheave atA has a radius of 2#5 in#and the sheave at C has a radius of 2 in#no(ing that the s"stem rotates at a constantrate% dra( the free'!od" diagram needed todetermine the tension T and the reactions at Band D# Assume that the !earing at D does note$ert an" a$ial thrust and neglect the (eights ofthe sheaves and a$le#

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5/23


A 4 3 1'ft sheet of pl"(ood (eighing 34 l! has !eentemporaril" placed among three pipe supports# )he lo(er

edge of the sheet rests on small collars atA and B and itsupper edge leans against pipe C# Neglecting friction on allsurfaces% dra( the free'!od" diagram needed to determinethe reactions atA% B% and C#

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6/23


An opening in a +oor is covered !" a & 3 'm sheetof pl"(ood of mass &1 kg# )he sheet is hinged atAand B and is maintained in a position slightl" a!ovethe +oor !" a small !lock C# ,etermine the verticalcomponent of the reaction -a. atA% -b. at B% -c. at C#

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7/23


A 41'in# !oom is held !" a !all'and'socket *oint atC and !" t(o ca!les BF and DAE ca!le DAEpasses around a frictionless pulle" atA# or theloading sho(n% determine the tension in eachca!le and the reaction at C#


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10/23


A &00'kg uniform rectangular plate is supported in theposition sho(n !" hingesA and B and !" ca!le DCEthat passes over a frictionless hook at C# Assuming thatthe tension is the same in !oth parts of the ca!le%determine -a. the tension in the ca!le% -b. the reactionsatA and B# Assume that the hinge at B does not e$ertan" a$ial thrust#

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11/23


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12/23


)he !ent rodABEF is supported !" !earings at C and Dand !" (ireAH# no(ing that portionAB of the rod is 250mm long% determine -a. the tension in (ireAH% -b. thereactions at C and D# Assume that the !earing at D doesnot e$ert an" a$ial thrust#

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13/23


)he rigid 6'shaped mem!erABF is supported !" a !all'and'socket *oint atA and !" three ca!les#or the loading sho(n% determine the tension in each ca!le and the reaction atA#

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14/23


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15/23


)he frameACD is supported !" !all'and'socket *oints atA and Dand !" a ca!le that passes through a ring at B and is attached tohooks at G and H# no(ing that the frame supports at point C aload of magnitude P 5 2/1 N% determine the tension in the ca!le#

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16/23


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18/23


,etermine the components of reaction that the !all'and'socket *oint atA % the smooth *ournal !earing at B% and the roller support at C e$ert on the rod assem!l"in ig#

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19/23


7odAB sho(n in ig# 583& a is su!*ected to the 200'N force# ,etermine the reactions at the!all'and'socket *ointA and the tension in the ca!les BD and BE # )he collar at C is 9$ed tothe rod#

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20/23


)he !ent rod in ig# 5832 a is supported atA !" a *ournal!earing% at D !" a !all'and'socket *oint% and at B !"means of ca!le BC # sing onl" one equilibrium equation %o!tain a direct solution for the tension in ca!le BC # )he!earing atA is capa!le of e$erting force components onl"in thez andy directions since it is properl" aligned on theshaft# In other (ords% no couple moments are re;uired atthis support#

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21/23


A vertical force of 10 l! acts on the crankshaft# ,etermine the horiontal e;uili!rium force P that must!e applied to the handle and thex, y, z components of reaction at the *ournal !earingA and thrust!earing B # )he !earings are properl" aligned and e$ert onl" force reactions on the shaft#

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22/23


A 200-N force is applied to the handle of the hoist in the directionshown. The bearingA supports the thrust (force in the direction ofthe shaft axis), while bearing B supports only radial load (loadnoral to the shaft axis). !eterine the ass m which can besupported and the total radial force exerted on the shaft by eachbearing. Assue neither bearing to be capable of supporting aoent about a line noral to the shaft axis.

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23/23


The young tree, originally bent, has been brought into the"ertical position by ad#usting the three guy wire tensionstoAB $0,AC $ %0 lb, andAD $ %& lb. !eterine theforce and oent reactions at the trun' base point O.Neglect the weight of the tree.

The light right-angle boo which supports the 00- 'g cylinder issupported by three cables and a ball and soc'et #oint at O attached to the"erticalx-y surface. !eterine the reactions at O and the cable tensions.

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Rigid Body 3D Ans

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