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 ?
of embedding A, if 
.
of the roller B, if 
.
into two rectangular components and using the Varignon’ Theorem find the moment of force 
at which rod AB will be in equilibrium,
, Р=15N, ОА=2 m, ОВ = 1m.
?
and 
.
.
kN/m are balanced by force 
.
.
about point О?
N and F2= 
N? Angles are 
and 
.
and 
. Find moment in the embedding.
and force 
. Find moment in the embedding. (length AB=4m).
|| Axz, 
).
, 
, CL=DE=4м).
, CD=0.4m).
