ditionh Vector Mechanics for Engineers: Dynamics...
Transcript of ditionh Vector Mechanics for Engineers: Dynamics...
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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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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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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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Vector Mechanics for Engineers: Dynamics
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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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Vector Mechanics for Engineers: Dynamics
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예제 1.5
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Vector Mechanics for Engineers: Dynamics
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예제 1.5
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Vector Mechanics for Engineers: Dynamics
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Sample Problem 1.5
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Vector Mechanics for Engineers: Dynamics
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Sample Problem 1.5
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Vector Mechanics for Engineers: Dynamics
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예제 1.5
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Vector Mechanics for Engineers: Dynamics
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예제 1.5