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 F_{1}= N and F_{2}= 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 ?