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Vector Mechanics for Engineers: Dynamics

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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

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Introduction

x

y

z

O

path

rp/o

P

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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Introduction

x

y

z

O

rp/o

P

x'

y'

z'

O'

rp/o'

ro'/o

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Vector Mechanics for Engineers: Dynamics

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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

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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

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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

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Introduction

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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Introduction

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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Introduction

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion : 속도의부호

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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.

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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