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# LEC1 - EM 345 Dr James P Hilliard 2316 Howe Hall email...

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Unformatted text preview: EM 345 Dr. James P. Hilliard 2316 Howe Hall email: [email protected] Telephone: 294-8387 Office Hrs: Ham-12pm, MWF 1-2 pm, TR EM 345 - DYNAMICS Chapter 13: Kinematics of Particles Kinematics is the study of how objects move. Kinetics is the study of the relationship between the motion and the forces which cause the motion. A particle is an object whose size can be ignored when studying it motion. ’Arl A a A 4 Fr/.,' (t)= ¥'(t>£ +7 (ﬂj ‘ 22w: VV‘ : 7:99 4— ”ﬂy Q “ - — rm/ 5, = [\$6 4% "m, " 46’ = 41/, ' ”m, ,, X y =21» = 5—) = :5 (7%) 7,62) = W"? * Ht)? + 7360/? : m:>f‘+ main 4(2),? ﬁr/,=;r(*)= 7r = \$(VP/a)= 317—55 33M) 7 + We)? + in)? = 141-): +V19J +Vi (t): = AXE): *ﬂy(ﬁ)f +az,(é)k II Zr ('0 [gar/LIME»: Mar/cw: Irena!" Luv: Men.” ”56:"; W=V=. 5X: XR‘XPJ 4,: 4:1} : x Glut/V x9): V(e)=%?¥ J 4(a): 3% Gum/v I/(Q: 1/(t) = 50% :7 flit =Ik(e)Jt :jV{¢)Jt +5, x=x., balm/ac. A(t)=—;— JV 5mm 44:2 '- 4M- — #2 , XJV =fateu’t ngu 4(X): «(0:45 :3? 5’: = Vie? July =jnooJx J," _[a(x).lxm 4—6, V:k,,x=X.,F/»p c. 1- V(x) ==j4¢ lg“ X=)(,Jt=f,’va0<. Wx) = ngw a“): 4(y): :7 J =jJt = t +6 My) V=Vnt=tmﬂwa c, GIWI/V «0!: “(0: 1—: = 7 % {M =ij =X +£, V=V. 40') GIVEN a 1.: CoA/J‘rlﬂr.’ 1. V=V,*n(t-to , V -V,‘= “(x—X.) n{t-t.)+é4(t-t.)‘ Gulll: AL lawn/:1: .- X leTAavcE 7760:5154: D t: It ”(Q/J: , . V /3—/7.) 6mpw 5mm ‘mf Wc) Am: x=ow 47' tab: 1p Jo .fo 60 5—29) 444.4 «(m-WIN“ 1 AT V=a, y:-1+‘t,t:a j] V Fwy V www X=Ift _JV _ 4f :- _T&_V7%JJVJI/ jayiy +C :{t' ralt __:*=y1-,_ cJ M. y”) y:vIFtJ 0°0C=é 1. V :—3y"+ I'L WHEN y: [(9, 11:10:: ‘F’t/J /3-37) Elcyctii d(V)=o‘+-o.0091V1#£/¢Y- A-r 2‘"; 41:9] x=o Fm! WK), ‘4qu 4:1—— 'gl’ﬁL—gva‘l’ , Jx=(-E)Jv [1X =f(ﬁy)lu+c :j—EV—-— 4- r. 04“».09914’" X = '1‘°°Xm(n.+-a.c>aal.v‘) + C, WHE/V x», V=o, .‘a C: 7500,544. X : -1:ao,L.( .4—o.aaoLl/‘) + 199,244- a f— —o.ooo1.V" X: —z:onL ———‘- V: ‘Loao(1—e e‘vu’on-t 1,4,“ out”: Wh’f/I/ a=oi a: a. +— avocaz J- .4- v me= E7}; = 4*:7 tot/J 1— MA& WM /3’39> Sﬁx :JL 0. 4- —o.oaozv" VJV o.+.—a.aaozvt / LET Z=o.+-o.ooo;v‘ é; :: -o.ooo+\/ ‘02 ___L____,_ '0, 0004' V j V __ _. Z500j W)¢QV -0.Doa4" o.+—o.ooozl/7' 2- : _z§ooj(‘é')492 = —7.!aa,€M t + c; X = '1509£n(0.+v0.&001V1—)+C ...
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