Ed -Unip

2- Em= EC+EP -> 1= 0,5.m.v²+0,5.k.x² -> 2=4.v²+800.0,02² -> 4.v²=1,68 -> v=0,648 m/s

3- w=2.pi.f -> w=2.3,14.2,5 -> w=15,7 -> ym=(0,011²+(0,011/15,7)²)^(1/2) -> ym= 0,0146 m

4- vm=1,46.15,7 -> vm=22,9 (cm/s)

5- -y.32000 -v.640 -80.a=0 -> -y.400-v.8-1=0; y=e^(-4t).(A.cost(19,6t)+B.sen(19,6t)); Derivando: V=-4.e^(-4t).(A.cos(19,6t)+B.sen(19,6t))+e^(-4t).(-19,6.A.sen(19,6t)+19,6.B.cos(19,6t)); y= e^(-4t) .(0,492.cos(19,6t) + 0,609.sen(19,6t)); y(0,4) = e^(-4.0,4).(0,492.cos(19,6.0,4) + 0,609.sen(19,6.0,4)) -> y(0,4) = 0,202.(0,0069+0,6089) -> y(0,4) = 0,124 m

6- 0 = e^(-4t) .(0,492.cos(19,6t) + 0,609.sen(19,6t)) -> 0 = 0,492.cos(19,6t) + 0,609.sen(19,6t) -> - 0,492.cos(19,6t) = + 0,609.sen(19,6t) -> -0,492/0,609 = tg(19,6t) -> tg(19,6t) = -0,808 -> 19,6t = -0,679 -> 19,6t = -0,679 + pi -> t=0,126s;

7- 0,5.b/m=(k/m)^(1/2) -> 0,5.b/80=(32000/80)^(1/2) -> 0,00625b=20 -> b=3200N.s/m

8- g = 0,5.b/m -> g=20; 0,1 = (C1 + C2.0). e^(-20.0);0,1 = (C1 +0).1 -> C1=0,1; v = C2.e^(-g.t) + (0,1 + C2.t).(-20).e^(-20.0t) -> 2 = C2.e^(-g.t0) + (0,1 + C2.0).(-20).e^(-20.0) -> 2=C2 -2 -> C2=4; y = (0,1 + 4.t). e^(-20.0t) 0 = (0,1 + 4.t). e^(-20.0t) -> 0 = (0,1 + 4.t) -> -0,1 = 4.t -> t = -0,025 s; 0,001 = e^(-20.0t) -> -6,9077 = -20.t -> t= 0,345 s; T = 0,345 - (- 0,025) -> T = 0,37 s

9- A=2.ym.cos((pi/4).0,5) -> A=2.1.cos (pi/8) -> A=1,855mm

10- 2=2.1.cos(o.0,5) -> 1=cos(0,5.o) -> 0,5.o = accos(1) -> 0,5.o = 0 -> o=0

11- y = 15.sen(pi.x/4).cos(30.pi.t + pi/3) -> vt=15.sen(pi.x/4).sen(30.pi.t+pi/3).(-30.pi) -> vt= -1414.sen(pi.x/4).sen(30.pi.t+pi/3_ -> vt=-1414.sen(0,5.pi).sen(60.pi+pi/3) -> vt= -1224cm/s

12- y = 15.sen(Pi.x/4).cos(30.Pi.t + Pi/3) -> A=15.sen(Pi.x/4) -> A=15.sen(pi.2/4) -> A=15cm

13- d1 = 2,6.0,01=0,0026 -> d2=7,8.0,01=0,0078kg/m -> f1 = [n1/(2.L1)].[F/d1]^(1/2); f2 = [n2/(2.L2)].[F/d2]^(1/2); f1=f2 -> [n1/(2.0,6)].[100/0,0026]^(1/2) = [n2/(2.0,866)].[100/0,0078]^(1/2) -> [n1/(2.0,6)]^2.1 /2,6 = [n2/(2.0,866)]^2.1/7,8 -> n1 =