© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
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1 - 49
제 1장질점의운동학
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
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강의내용
O 동역학개론
O 질점의직선운동
O 질점의곡선운동
* 중요단어
- 질점
- 위치, 속도, 가속도
- 직선운동
- 곡선운동
- 직각좌표(x,y) 성분
- 접선방향과법선방향(n-t) 성분
- 반경방향과횡방향 (r-q) 성분
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
3 - 49
Introduction
x
y
z
O
path
rp/o
P
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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nth
Ed
ition
4 - 49
Introduction
x
y
z
O
rp/o
P
x'
y'
z'
O'
rp/o'
ro'/o
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
5 - 49
Introduction
x
y
z
O
rP/O
P
Q
rQ/O
r
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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nth
Ed
ition
6 - 49
Introduction
x
y
z
O
rP/O
P
Q
rQ/O
r
O'rO'/O
rP/O'rQ/O'
y'
x'
z'
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
7 - 49
Introduction
x
y
z
O
rP/O
P
Q
rQ/O
r
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
8 - 49
Introduction
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
9 - 49
Introduction
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
10 - 49
Introduction
© 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
Rectilinear Motion
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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Ed
ition
13 - 49
Rectilinear Motion : 속도의부호
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
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Rectilinear Motion: 가속도의 부호
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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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