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Vector Mechanics for Engineers: Dynamics

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Introduction

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Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion

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Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion

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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: 가속도의부호

순간가속도t

va

t

0lim

• 순간가속도의부호:

- 양: 속도가양의방향으로증가

속도가음의방향으로감소

- 음: 속도가양의방향으로 감소

속도가음의방향으로증가.

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Vector Mechanics for Engineers: Dynamics

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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

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Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion

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Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion

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Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

A B

100 m

변위와 총이동거리

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Vector Mechanics for Engineers: Dynamics

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Rectilinear Motion

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Determination of the Motion of a Particle

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Vector Mechanics for Engineers: Dynamics

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Sample Problem 1.2

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Vector Mechanics for Engineers: Dynamics

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Sample Problem 1.2

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Sample Problem 1.2

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Vector Mechanics for Engineers: Dynamics

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Sample Problem 1.2

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Vector Mechanics for Engineers: Dynamics

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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

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Sample Problem 1.4

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Vector Mechanics for Engineers: Dynamics

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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

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Vector Mechanics for Engineers: Dynamics

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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

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Vector Mechanics for Engineers: Dynamics

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Motion of Several Particles: Dependent Motion

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Vector Mechanics for Engineers: Dynamics

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Motion of Several Particles: Dependent Motion

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예제 1.5

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예제 1.5

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Sample Problem 1.5

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Sample Problem 1.5

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예제 1.5

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예제 1.5