Mechanical Engineer's Handbook by Dan B. Marghitu (Eds.)

By Dan B. Marghitu (Eds.)

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Planar Kinematics 1 : Typesof ii i i .... 3 4A: :of:a:Rigid~:::Body ::i: :: ..... 95 ...................... : . . . Rotation about a FixedAxis 96 ...... Relative V e l o c i V o f : T w o P o i n t s of t h e Rigid B o d y : : 9 7 AngularlVelocity Vector: of a R i g i d B o d y 9811 : .... Instantaneous Center 100 ......... ~ i........... . . : ..... : . . . . . . :: i~ ...........................................................................................................................................................................................................................

I ..... 75 . . . . :i~ i : i ~ ~:: :. . ~ : 3 : 6 ::iPolar a n d C y ! i n d r i c a ! C O o r d i n a t e s 78 i :: i:::: : :i:i::i ...... : ii :~ : :i 3 i 7 ~ Principle: o f W o ~ : a n d ::Energy 8 0 ........... :.... :. . . . . . . . . . . ................ i! 3:8 W o r k a n d P o w e r ...... 8 1 ....... . . . . . . . . . . . . . . ~ : ..... 3,9 :Conservation of Energy ~ 184 .... : :: : i: : :::::::: ..... ~ 3,10 Conservative::iForces i : 8 5 i ...........................

N. m j i=1 j=l m = k ( r Q p + rpAi) x FAi-~- ~ Mj i=1 j=l n r/ m = rQe x ~ eAi ~t_ ~ rpAi X eAi -Jr-Z mj /=1 i=1 j=l m = rQp x O+ rBAi X FAi + ~ mj i=1 j=l m = k rpAi X FAi + ~7~ Mj -- y~. MR -- 0. i=1 j=l Statics 42 i .................. A body is subjected to concurrent forces I! F1, F2, . . , F n and no couples. If the sum of the concurrent forces is zero, II Iiiiiiiiiiiiiiiiiiii II,i,: F 1-+-F 2 + . - . ilililili i i i ~: the sum of the m o m e n t s of the forces about the concurrent point is zero, so the sum of the m o m e n t s about every point is zero.

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