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第三篇 动 力 学. Theoretical Mechanics. 第十三章 动量矩定理. 主讲教师 黄 璟. 返回总目录. 第十三章 动量矩定理. 目 录. § 13-1  动量矩 § 13-2  动量矩定理 § 13-3  刚体绕定轴的转动微分方程 § 13-4  质点系相对于质心的动量矩定理 § 13-5  刚体平面运动微分方程. 13.1 动量矩. 13.1.1 质点的动量矩. 质点 M 的动量对于 O 点的矩,定义为质点对于 O 点的动量矩,即. A. B. 动量矩是矢量,称为动量矩矢。.

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5730302

Theoretical Mechanics


5730302

13-1

13-2

13-3

13-4

13-5


5730302

13.1

13.1.1

MOO

A

B

rmv

d

kgm2s-1


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O

13.1

13.1.2

1

O

2


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13.1

13.1.2

3


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13.1

13.1.2

4


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13.1

13.1.3


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13.1

13.1.3


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13.1

13-1 ABlm1Oy2yy

Oxyx=m/ldxdm = dx


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r2dm

13.1

13-2Rm


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13.1

13.1.4

OC

Theoretical Mechanics


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CxyC

13.1

13.1.4


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13.1

13.1.4


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13.1

13-3M1M2ldOIO


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13.1


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B

F

z

A

d

O

z

y

x

y

x

13.2

13.2.1


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13-3

13.2


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13.2


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ni

i =12n

13.2

13.2.2

n

: O


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13.2

13.2.2

x yz x yz


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13-4

A

13.2


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A

13.2

AAA


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d

=

13.2

13.2.2

OO


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13-5 AB2az lACBDPCDACBD z ACBD ,

13.2

zz


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13.2


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z

13.3

z z


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13.3

z

1MzMz=0= 0

2IzIz


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13.3

13-6 mOOC=aOT


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13-7 I I1I2ICM AB R

13.3


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13.3

I M Ft Fn1M I

W 2(1)2


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13.3

12Ft


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13.3

13-8 ABlWABA

A

ABA= 0


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13.3

C

A


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13.3

13-9 M r m1 m2

OO

O


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13.3


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13-8 m1 = 5 kgr=30cmz Dm2 = 4 kgABAB2rDAB C

ABz z

13.3


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13.3

z

1z


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C

13.4

O C

O


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13.4


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C

13.4


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13.4


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13.4


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13.5


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F a

13.5

13-9200 N50kg70 mmf = 0.20f = 0.15O


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13.5


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a

13.5


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FAFB

13.5

13-10AB2lmBAAB0( )


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13.5


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13.5

FA=0A


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