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© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
1 - 49
Introduction
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
2 - 49
Rectilinear Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
3 - 49
Rectilinear Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
4 - 49
Rectilinear Motion : 속도의부호
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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ition
5 - 49
Rectilinear Motion: 가속도의부호
순간가속도t
va
t
0lim
• 순간가속도의부호:
- 양: 속도가양의방향으로증가
속도가음의방향으로감소
- 음: 속도가양의방향으로 감소
속도가음의방향으로증가.
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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ition
6 - 49
Rectilinear Motion: Position, Velocity & Acceleration
• 질점의운동:
326 ttx
2312 ttdt
dxv
tdt
xd
dt
dva 612
2
2
• at t = 0, x = 0, v = 0, a = 12 m/s2
• at t = 2 s, x = 16 m, v = vmax = 12 m/s, a = 0
• at t = 4 s, x = xmax = 32 m, v = 0, a = -12 m/s2
• at t = 6 s, x = 0, v = -36 m/s, a = 24 m/s2
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
7 - 49
Rectilinear Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
8 - 49
Rectilinear Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
9 - 49
Rectilinear Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
10 - 49
Determination of the Motion of a Particle
A B
100 m
변위와 총이동거리
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
11 - 49
Rectilinear Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
12 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
13 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
14 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
15 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
16 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
17 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
18 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
19 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
20 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
21 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
22 - 49
Determination of the Motion of a Particle
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
23 - 49
Sample Problem 1.2
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
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Ed
ition
24 - 49
Sample Problem 1.2
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
25 - 49
Sample Problem 1.2
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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nth
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ition
26 - 49
Sample Problem 1.2
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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nth
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ition
27 - 49
Motion of Several Particles: Relative Motion
ABAB xxx relative position of B
with respect to AABAB xxx
ABAB vvv relative velocity of B
with respect to AABAB vvv
ABAB aaa relative acceleration of B
with respect to AABAB aaa
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
28 - 49
Sample Problem 1.4
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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ition
29 - 49
Sample Problem 11.4
2
2
221
00
20
s
m905.4
s
m18m12
s
m81.9
s
m18
ttattvyy
tatvv
B
B
ttvyy
v
EE
E
s
m2m5
s
m2
0
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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nth
Ed
ition
30 - 49
Sample Problem 11.4
025905.41812 2 ttty EB
s65.3
smeaningles s39.0
t
t
65.325Ey
m3.12Ey
65.381.916
281.918
tv EB
s
m81.19EBv
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
31 - 49
Motion of Several Particles: Dependent Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
32 - 49
Motion of Several Particles: Dependent Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
33 - 49
예제 1.5
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
34 - 49
예제 1.5
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
35 - 49
Sample Problem 1.5
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
36 - 49
Sample Problem 1.5
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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nth
Ed
ition
37 - 49
예제 1.5
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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Ed
ition
38 - 49
예제 1.5
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