Hola

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Trabajo de Física |
[Escriba el subtítulo del documento] |
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Nombre: Carlos Yupa |
Curso:2 QQBB nocturna |
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Materia
Ejercicios
a) A=(10kgf; NE)=(10kgf;90)
B= (6kgf;210°)= (-5.19i-3j)
C= (-8; 15) kgf = (17kgf;298°) = (-8i-15j)

Procedimiento:
c2=a2+b2

c2=(-8kgf)2+(15kgf)2
c2=64kgf+225kgf
c2=289kgf
C=17kgf

tan=bxby
tan=-8-15
tan=0.53
θ=28°b) A=(20cm;S60O)=(20cm;210°)=(-17.3i-10j)
B= (28cm; 20°)= (28cm;20°)= (26.3i+9.5j)
C= (8; 4) cm (8.9cm;27°)= (8i+4j)
Procedimiento:
c2=a2+b2
c2=(8cm)2+(4cm)2
c2=64+16
c2=80cm
C=8.94cm

tan=bxby
tan=84
tan=2
θ=63°
c) A=(10kgf; S10O)=(10kgf; 260°)=(-1.73i-9.84j) kgf
B= (3kgf; 315°) = (3kgf; 315°) = (2.12i-212j) kgf
C= (9; 3) kgf = (9.4kgf; 19°) = (9i+3j) kgf
Procedimiento:c2=a2+b2
c2=(9)2+(3)2
c2=81+9
c2=90 kgf
C=9.4 kgf

tan=bxby
tan=93
tan=3
θ=71°

d) A=(24cm; NO)=(24cm; 180°) = (-24i-0j) cm
B= (7cm; 250°) = (7cm; 250°) = (-2.39i-6.57j) cm
C= (-3; 3) cm = (4.2cm; 135°) = (3i+3j) cm
Procedimiento:
c2=a2+b2
c2=(3)2+(3)2
c2=9+9
c2=18cm
C=4.2 cm
tan=bxby
tan=-33
tan=-1
θ=-4.5°

e) A=(2m; S50E) = (2m; 320°) = (1.5i-1.28j) m
B= (4m;270°) = (4m; 270°) = (0i-4j) m
C= (-2; 2) m = (-2i-2j) m

Procedimiento:
c2=a2+b2
c2=(2)2+(2)2
c2=4+4
c2=8m
C=2.8 m
tan=bxby
tan=-22
tan=1
θ=45°
Deber
1) A= (18kgf;71°)= (5.86i-17j) kgf
B= (14i+6j) kgf
Procedimiento:
a) A+B=(5.86i+17j)+(-14i+6j)=(-8.14i+23j)kgf
b) A-B=()19.86i+11j)- (-14i+6j)=(19.86i+11j)

2) C=(-52; 86)m = (-52i+86j) m
D= (100m; 80) = (-170.7i-70.7j)m
Procedimiento:

a) D+C=(-70.7i-70.7j)+(-52i+86j) = (122.7i+15.3j) m
b) D-C = (-70.7i-70.7j)-(-52i+86j) = (-18.7i-156.7) m

3) E=(7cm;36°)= (5.66i+4.1j) cm
F= 4cm (0.564i+0.826j) = (2.256i+3.304j) cm
Procedimiento:
a) E+F =(5.66i+4.1j)+(2.256i+3.304j=(7.916i+7.404j) cm
b) E-F =(2.256i+3.304j)-(5.66i+4.1j) = (-3.4.04i-0.796j) cm
c)
4) G=(-25i-37j) km
H= (60 km;510°E) = (59i-10.4j) km
Procedimiento:
a) 2G+H =2(-25i-37j)+(59i-10.4j) = (9i-84.4j) km
b) G-3H=(-25i-37j)-3(59i-10.4j) = (-202i-5.8j) km

5) I=7m/s(-0.286i-0.958j) = (-2i-6.7j) m/s
J= (9.2) m/s = (9i+2j) m/s
Procedimiento:
a) 3i+4j=3(-2i-6.7j)+4(9i+2j)=(30i-12.1j)m/s
b) 0.75j+1/2 I=0.75(9i+2j)-0.5(-2i-6.7j) = (5.75I-1.85j) m/s

Graficas de representación
B= (4kgf; S10°O)4kgf
°
4kgf
°

260°°
260°°

(N60E)

60°°
60°°

30°°
30°°

(N75O)

165°°
165°°
75°°
75°°

(N89E)

10
°°
10
°°
89
°°
89
°°

45
°°
45
°°
225
°°
225
°°
(SO)

A=(2m; N60O)=(2m; 150) =(-1.73i+j)
B=(3m; 230 )=(3m; 230) =(1.92i-2.29j)m
C=(-5; -4) m =(5; 4)m = (5i-4j)m
D=(4m; S10E)= (4m;280)= (0.69i-0.34j)mA+B+C+D=(2.4i-5.64j)m
r2=(2.41)2+(-5.64)2
r2=5.8m2+31.80m2
r2=37.60m2
r2=6.13m

tan=rxry
tan=-5.64m2.41m
θr=-66.94°+360°
θr=293.05°
Deber
-3A+4B-1/2C-4D
-3(1.04i+5.9j) km = (-3.12i-17.7j) km
+4(1.04i+4j) km = (-27.72i+16j) km
-1/2(6i-4j) km = (-3i+2j) km
-4(-10i+12j) km = (40i-48j) km
R = (6.16i-47.7j) km

3/4A+2B-3C-1/4D
3/4(1.04i+5.9j) km = (0.78i+4.425j) km2(-6.93i+4j) km = (-13.86i+8j) km
-3(6i-4j) km = (-18i+12j) km
-1/4(-10i+12j) km = (2.5i-3j) km
R = (-28.58i+21.425j) km
3/4A+2B-3C-1/4D
3/4(1.04i+5.9j) km = (0.78i+4.425j) km
2(-6.93i+4j) km = (-13.86i+8j) km
-3(6i-4j) km = (-18i+12j) km
-1/4(-10i+12j) km = (2.5i-3j) km
R= (-28.58i+21.425j) km
2A-2B+2C+2D
2(1.04i+5.9j) km =(2.08i+11.8j) km
2(-6.93+4j) km = (-13.86i+8j) km
2(6i-4j) km = (12i-8j) km
2(-10i+12j) km = (20i+24j) km
R = (-19.78i+35.8j) km
-3A-4B-1/4C+2/8D
-3(1.04i+5.9j) km = (-3.12i-17.7j) km
-4(-6.93i+4j) km = (27.72i-16j) km
-1/4(6i-4j) km = (-1.5i+1j) km
2/8(-10i+12j) km = (-2.5i+3j) km
R = (20.6i-29.7j) km

A= (2m; N50O) = (2m; 140°) =...