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TheorMech-3

1. The condition of a body remains unchanged if we transfer force …

· to any other point on its line of action

2. A force couple is acting on a rigid body tends to

· rotate body

3.

A
B
a
Force F=160N applied at vertex A of the square with side а=0,2m.

 

 

Determine moment of the force F about point B.

·

4.

A
2m
2m
Construct equation for the moments about point A and find the moment of embedding A, if

 

· 1200

5. The condition of a body remains unchanged if we add …

· a balanced force system

6. Any system of forces acting on a rigid body can be replaced by …

· a single force and a single couple

7. Force F=200N applied at vertex A of the right triangle with side BC=а= 0,2m.

A
B
C
a

 


Determine the moment of that force about point B.

·

8. Uniformly distributed forces of intensity q=5kN/m are balanced by force .

4 м
4 м
q
O

 


Find the magnitude of the force F.

· 10

9. Construct equation for the moments about a point A and determine the reaction of the roller B, if .

A
B

 


· 16.5

10. Construct equation for the moments about a point A and determine the reaction of the roller B.

 

 

A
B
2NН
18NNNН
20NН

 

 


· 24,5

11. Construct equation for the moments about a point A and find the moment of embedding A, if q=12N/m, F=140N.



q
A

 


· 260

12. Force F=10N applied at vertex A of the rectangle with sides a=0,4 m, b=0,5 m. Determine the moment of that force about B.

A
B
a
b


 

· 5

13. Resolve into two rectangular components and using the Varignon’ Theorem find the moment of force about point O.

х
у
О

 


·

14. Homogeneous rod AB hinged by pin O. Determine the magnitude of force at which rod AB will be in equilibrium,

O
A
a
1. В
B

 

 


if , Р=15N, ОА=2 m, ОВ = 1m.

·

15. Construct equation for the moments about a point A and determine the reaction of the roller B, if the intensity of the uniformly distributed load is q=120 N/m.

A
B
q

 

 


· 120

16. What is the arm of couple ?

 

 


· The perpendicular distance between lines of action of the forces and

17. Force F=220N applied at vertex A of the equilateral triangle ABC with side а= 0,2m.

A
B
C
a

 

 


Determine the moment of force F about point B.

· 22

18. Which of the following systems of equations expresses the analytical conditions for the equilibrium of concurrent forces shown in diagram?

 

х
у

 

 


·

19. Find magnitude of the resultant for the forces distributed along a straight line according to a linear law, if the maximum intensity .

6 м

 


· 15

20. Construct equation for the moments about a point A and determine the reaction of the roller B.

A
B
44Н

 

 


· 40/3

21. Construct equation for the moments about a point A and determine the reaction of the roller B, if q=1.5N/m, .

A
B
q

 


· 1.8

22. Find the sum of projections of all the forces shown in diagram on axis Oy.

 

x
y

 

 


·

23. Force F=40Н exerts to the point A of the circle described in diagram (R=0,5m).

O
A

 

 


Determine the moment of force F about point O.

· 0

24. Uniformly distributed forces of intensity q= kN/m are balanced by force .

6 m
6 m
q
O

 


Find the magnitude F.

· 6

25.

A
Construct equation for the moments about a point A and find the moment of embedding A,

 

if .

· 290

26. Force F=20N applied at vertex A of the equilateral triangle ABC with side а= 0,2m.

A
B
C
a

 

 


What is the moment of the force F about point B.

·

 

27. Construct equation for the moments about point A and determine the reaction of the roller B,

A
B
М

 

 


if F=150N, .

· 250

28. Employ Varignon’s theorem and find the moment of force about point О?

х
у
О

 


·

29. Construct equation for the moments about a point A and find the reaction of the roller B.

A
B
10Н

 

 


· 8.22

30. What is the weight of the rod AB if the tensions of the wires F1= N and F2= N? Angles are and .

 

· 38

 

31. Cantilever beam is loaded by the couples of moments and . Find moment in the embedding.

 

· 370

32. Cantilever beam AB is loaded by the couple of moment and force . Find moment in the embedding. (length AB=4m).

 

· 9

33. Find the moment of a force F about axis Ox if F=20N. Force F intercepts axis Ox and axis OY at distances a=2m , b=3m respectively.

 

· 0

34. Given cube with edge of 0.16m. Find moment of a force F about axis Oz if F=10N.

 

· 1.12

35. Rigid body shown in the diagram is in equilibrium under the action of constraints and forces: F=30kN, gravity force G=60kN. Construct equation of moments about OX-axis and find tension T of the rope AB.

AA
B
1,5м
x
y
z

 


· 15

36. Rigid body shown in the diagram is in equilibrium under the action of constraints, force F and distributed forces of intensity q=1.5N/m. Construct equation of moments about OY-axis and find value of the force F. ( || Axz, ).

 

A
B
q
D
E
C
L
x
y
z

 

 


· 24

 

37.

A
B
C
D
E
1,5м
0,6м
x
y
z
Rectangular plate ABCD of the weight G=8N is kept in horizontal position by the rod CE. Construct equation of moments about OY-axis and find reaction S of the rod CE.

 

· 8

 

38. Rigid body shown in the diagram is in equilibrium under the action of constraints, force F and distributed forces of intensity q=1.5N/m. Construct equation of moments about OY-axis and find value of the force F. ( || Axz, , , CL=DE=4м).

A
B
C
D
x
y
z
E
L
q

 

 


· 6

 

39. Rigid body shown in the diagram is in equilibrium under the action of constraints, force F=45N and moment M. Construct equation of moments about OY-axis and find value of the moment M. ( || Axz, , CD=0.4m).

x
y
z
A
B
C
D
M

 


·

40. Two rectangular plates perpendicularly connected to each other. Two moments M1=3 Nm and M2=4 Nm act to the plates. What is the value for the resultant moment ?

 

· 5

 


Date: 2015-01-29; view: 1400


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