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  • 8/12/2019 Statics HW Set_1

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    ROBLEMS*2- 32. Determine llie magnitude of llie rcSUllan forceacting on Ille pin and ils di rection measured dock" 'isc fromthe positil"' .r axis.'''

    1 11 .2-32

    02-.B. If 1 , _ 600N Dnd > - 30". deteml;nc themagnitude of the resuhant force :lCling on the eyebolt andits dircClion measured clod\\isc from Ihe posith'c x axis.l-J4. If the magnitude of Ihe resultant force actin g onlite cycboll is 600 Nand ilS direction measured clockwisefrom Ihe positive ,r 3.'(; is 8 - W determine he magnitude o f . '\ and Ihe angle

    Prohs. l-3J1 ..1

    2 4 AoolllON OF A SYSTEM OF CoPlANAR FO tCs 39

    2-35. The oontac\ IlOint bel""Cen the femur and tibiabonn or the leg is 3\ A. lf a ,crlie . forr:e of 1751b isllpplicdal this poin . determine the romponcnls along the .r and yaxes. NOle Ihal tile y component r p r s n l ~ the noromlforce on Ihe loadbearing rcgioll of Ille bones. BOlh Ihe xand y componenls of Ihi5 forcc cause s)'lIo\;al nuid 10 besqueezed OUI ofille bearing space.

    I' rob. 2-350Z-J6. If b - 30" and F .. 3 kN.dclcmlinc: the magnitudcof the resultant force OCIing on the plate and ilS direction 6measured clockwise from the posilivcx axi5.' 2-37. If thc magnitude for Ille rcsultant force actillg onlite plale is required to be 6 kN and its d ireel;oll measuredclockwise from Iltc posi li ,'c x axis is 6 - JO".delermille litemagnitude of F2 and il$ dire .Z-38. If > - 30" and tile resultant fortt acting on Ihegusset p13tc is directed olollg Ille positi>'c x axis. determinelite magnitudes of t"2 and Ihe resultant fortt .

    kN

    l' rOIlS.2- J6f37/JIS

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    40 C H ' P f E ~ 2 FORCE VE CTORS2-39. DClcmlinc the magnitude of FI and its direction (Iso Iha\ the resullanl forte is din:clcd \'crlicalir upward andhas a magnitude o(SOI) N.*2-40. Determine the magnitude and direction measuredcoun terclockwise from the posit;,c x a:cis of the re$uhanlforce of the three fo rres acting on the ring A Takef \ - SOONandlJ - 20 ,

    I robs. 2- 39/402-4 1. Determine the magnitude and direction /I of F8 sothaI Ihe rC$ullam force ;s dirc(lcd along the posilj C y axislind has a magniHldc of ISO) N.

    2- 12:. Iklcrminc the magnilUdc and anste measuredcounterclockwise from lhe positil'c )' uis of the resultantforce acting on the bracket if F. - 600 Nand fJ - 20' ,

    I,eobs. 2 .... 11- 2

    2-43. If d - 30 and Fl - 250 lb. determine Ihemagnitude of the resultant force ac ting on the bracket andils diredion measured clockwise from the positi,'e of axis.. 2-44. If the magnitude of the rC$ultant force acting onthe bradel is 400 Ib directed along the positive x axis.determine the m a g n i t u d ~ of Ft and its direction >..2-45. If the resul tant force act ing on the bracket is to bedirected along the positive.T axis and the magnitude of . ' 1 isrequired to be a minimum.determine the magnitudC$ ofchercsultam fo rce and FL ,

    F, 260 Ib

    2-46. The three concurrent forces acting on the sere'produce a resultant force 1'1 - O. lf 2 - i F Land t t is tobe 90 from . '2 as shown. detumine the required nmgniludeof Fl expressed in terms of FLand the anll-Ie 8.

    I'rob. 2-46

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    2_ 17. Dctcnnine the ma utude of t and 1t5 direction 6so that thc resultant force is d m ~ c t c d alon, the p o s i u , .l.lXI' and has a rnapitude of 1250 N.0l-4ll. D t : 1 ~ r m i n c the magrutude and dntlon measured~ o l l n t c r ~ o c k ...,se f,om the posiu,'c x u s of the resullantforce acting on the ring al 0 if 1'" _ 750 Nand tJ ' 45".

    D c l ~ n n i n e thc magnitude of I h ~ ~ s u l t a n l fo rceand liS dlr1ion measured OOIIn terdockwise from th eposlti'c .r a: .

    ,

    '-F. ' SO Il

    rob. 2---4'.1

    2.4 AooInof.I Of . SmM Of' C()IV.N.tJt FOIII ES 412-50. The thrcc forces are apphed to the brackct.DelumlOc thc runge of values for thc rnagnitu

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    42 C H ' P f E ~ 2 FORCE VE CTORS

    ~ 'Ibree forces act on tile brad;ct IXtcrminc t h ~magnitude and dircClion 6 of tl so that the resultant force isdirected along the p