Homework (lesson4)

Exercise 1

The system of forces shown in the figure can be reduced to a single force (with zero moment). Determine the application point
of such a force on the line AC.
(Solution: R = 3i + 10j [N], AH = 1m)

Exercise 2

Find the loadings which are equivalent

Exercise 3

The plate in figure is acted on by two forces at the point A and E and a moment. Determine:
a) the equivalent force-couple in A
b) the point on the line AB where the system of forces is reduced to a single force
c) the point on the line AB where the system is reduced to a force-couple system with moment M = 0.2Nmk

x

y

z

F

E

= 6N

F

A

= 3N

M

F

= 0.2Nm

30

o

D

A

B

C

20cm

F

E

M

F

F

A

E

F

20√3 cm

8cm

500Nm

4m

500N

(A)

(B)

(C)

(D)

(E)

(F)

(G)

(H)

1500Nm

500N

4m

1500Nm

500N

4m

1500Nm

500N

4m

500Nm

4m

500N

1500Nm

4m

500N

1500Nm

500N

4m

500Nm

4m

500N

y

z

21m

A

3N

3N

20Nm

7m

B

C

D

45

O

A

B

C

D

5N

6N

11N

1.5m

Exercise 4

Three parallel forces are applied at the points A, B and C of a triangular plate. Determine the equivalent force-couple system of
forces acting at D.
(Solution: M = 1.06Nm )