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					rffi$ffiffiffinffiffi                                                       NI 16094
Reg. No. : ...........o"o""""""""t'

Name:
  CombinedI & II SemesterB.Tech.Engineering(Regular/Supplementaryl
             Improvement)DegreeBxamination,June 2009
              2K6BN 104: ENGINEERING MECHANICS
                                                     Max' Marksi10
Time:3 Hours
                                      Instruction: Answer questions'
                                                        all

  l. a)   State discuss
               and         principles statics'
                                       of
                                 " i) Resultant equilibrant ii) Scalars vectors'
                                              and                     and
     b)   Differentiatebetween
     c)   Statethe laws of dry friction.
     d)   Stateandproveparallelaxestheorem second
                                                of        moment arca?
                                                                 of
     e)   Discuss differeni typesof supports  with freebody diagram
       0 Discuss methodof sections the analysis planetrusses.
                  the                     in            of
       s)StateandexplainD'Alembert'sprinciple?fixed axis?                 (8x5=40)
       h) Discuss rotationof rigid body abouta
                  the
                                                             which keepsthe
   2. a) Determinethe magnitucleand direction of the force P                          7
                                                                (a))'
            conculrent force slstem in equilibrium (Ref' Fig' 2
                                            tooJZN.
                                                                  2001e N
                                               {.{)       4s'
                                               o(           30'

                                                                  too*
                                           P             z(a)
                                                      Fie.
        b) The systemof forcesacringof a rriangular    p^late shownin Fig. 2 (b)'
                                                             is
           Determin.ttt"-magnitude,di?..tion andfioint df application the resultant
                                                                     of
                                                                                      8
           forcew.r.t.'O' usingvectorapproach'
                                                          lood.
                                                 Y
                                               /N




                                                       l?tr,t
                                                      Fie.2(b)
                                                        OR
                                                                                 P.T.O.
M 16094                                  -2-                          ffiilnilttmil

  c) Determinethe resultantof the force systemacting on the plate as shown in
     Fig. 2 (c) with respectto A using vector approach?                              7
                                                           6N




                                                2oN
                                  Fig. 2(c)
  d) Determinethe resultantof the systemof concurrentforceshaving the following
     magnitudesand passingthrough the origin and indicatedpoints
     P = 140N (+3, 4, +2), T = 260N (-12, +4, -3), F = 90 N (+ 3, +6, -6).
3 . a ) A ladder6 m long weighing 200 N is placedon a horizontalfloor and vertical
     wall. The coefficientof friction between floor andladderis 0.3 andbetween
                                              the
     the wall and ladderis 0.2. The ladderhasto supporta 900 N load at 1 m from
     top of ladder along the length of ladder. Determine the least value of the
     inclination 0 of the ladder with the horizontal floor beforethe ladder slips.
  b) Determinethe force (P) requiredto startthe wedge as shownin Fig. 3 (b). The
     angleof friction for all contact surfaces 15 :
                                              is




                                       t000 nr




                                     Fie.3(b)
                                           OR
ffiffirmnil                             -3-                                M 16094
  .i:




  c) lncate the co-ordinatesof the centroid of plane areaas shown in Fig. 3 (c).
                                                                                   7

                        +Y       4a


                      I
                      ,T
                                                      --b5.

                                   Fig. 3(c)
  d) Determine product inertiaof theanglesection
              the       of                      shownin Fig. 3 (d) with
     respect indicatedX andY axes.
           to
                                    . ?nnn'   l+-d




                         ,4
4. a) A rollerweighing2000N restson an inclinedbar weighing800 N asshown
      in Fig. 4(a).Neglecting weightof barAB, determine reactions
                            the                         the
      developed supports & D.
                 at        C                                             15




                                    Fie.a@)
                                        OR
M r6W4                                       -4-                       rffirffiflililffiffi

   b) Draw SFD and BMD for the beam loadedas shown in Fig. 4 (b).
                                          *tuu       '
                                              -bEN\h            \L?^


                              ', t'oh t     r?*        t'o!z,
                                                   ,
                                      Fie.4(b)
   c) Determinethe forcesin membersBC,FC and FE using the methodof sections
      (Re & Fig. 4c)




                                                            D
                                                            3kr,


                                      Fig. 4(c)

 5. a) A smallsteelball is shotverticallyupwards                           g
                                                  from the top of a buildin 25'm
       above street
            the      with an initial velocityof 18m/s.                           15
        i) How high above   buildingwill theball rise ?
        ii) In whattime will it reachthe maximumheight
       iii) Cornpure velocitywith which it will strikethe streetandthetotal time
                     the
            elapseduntil it strikes?
                   OR
   b) A cricketball is thrownby a fielderfrom a heightof 2 m at an angleof 30"
      with the horizontalwith an initial velocityof 20 m/s, hits the wicket at a
      heightof 0.5 m from the ground.How far was the fielder from the wicket.
      Takeg = 9.81 mf s2-                                                            9

    c) Write shortnoteson :                                                           6
        i) Freevibration
       ii) Torsionalvibrations.

				
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