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Determine the external reactions of the mechanical system icon

Determine the external reactions of the mechanical system




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НазваDetermine the external reactions of the mechanical system
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Kinetostatics method.

Determination of reactions


Determine the external reactions of the mechanical system

at any moment of time - variants 7-14, 21-23;

at time - variants 1, 6, 15, 16, 19; 24;

when the angle - variants 2, 3, 4, 5, 17, 18, 20.


is initial rotational angle of the body 1,

is initial angular velocity of the body 1.

Determine the internal reactions (tensions in the cords) of the mechanical system (variants 7, 8, 10-14, 21-23).

Determine the position of the resultant of inertial forces (variants 1-6, 9,15-20).

The rotating bodies are uniform and thin.



Vari-ant













external moment











Comments

kg

m

Nm

m

deg

s

Rad/s




1

30










0.5









0

1

0




2

60










1







30

0




0




3

20










0,2







30

0




10




4

15







0.4










60

0




0




5

20







0.41










90

0




5




6

12







1




12t







0

2

0




7

60

20

10

0.2




45













0




8

50

10

80

1

10












1

0




9

50







0.5












0

1

0




10

100

20




0.1

1

200



















11

100

30




0.1




200



















12

80

50




0.2







0.18
















13

80

35




0.4







0.3
















14

100

50




0.1






















P=1400 N

15

50










0.6

5t







0

2

0




16

50










0.8

5t







0

2

5




17

20










1







60

0




0




18

40










0.15







60

0




6




19

20










0.6

10t







0

2

0




20

20










1.2







60

0




5




21

20

15

50

























Body 1 moves down. Neglect friction

22

50

20

0

























23

50

40

0

























24

25

40







0.4

6-0.1t










60

0






1



Oxy is horizontal plane

2



Oyz is vertical plane

3



Oyz is vertical plane

4



Oyz is vertical plane

5



Oyz is vertical plane

6



Oxy is horizontal plane

7



Oyz is vertical plane

8



Oyz is vertical plane




9



Oxy is horizontal plane

10



Oyz is vertical plane

11

Oyz is vertical plane

12

Oyz is vertical plane

13



Oyz is vertical plane

14



Oyz is vertical plane

15



Oxy is horizontal plane

16



Oxy is horizontal plane




17



Oyz is vertical plane

18



Oyz is vertical plane

19



Oxy is horizontal plane

20



Oyz is vertical plane

21



22



23




24



Axial moments of inertia for thin uniform planes





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