CATEGORIES:

# 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
 3м
 3м
 4м

· 16.5

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

 A
 B
 2м
 2м
 2м
 2м
 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
 2м
 2м
 2м

· 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
 2м
 2м

· 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
 3м
 3м
 3м
 B
 44Н
 2Н

· 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
 2м
 3м

· 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
 2м
 2м
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
 2м
 2м
 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
 2м
 5м
 2м
 2Н
 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
 3м
 3м
 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
 4м
 4м
 3м

· 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: 2686

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