Homework (lesson5)

Exercise 1

Determine the equivalent force-couple acting at B and D. Determine the point H on DB for which the
reduced force-couple system becomes a single force.

Solution: R = -2i -2j [N]; M

B

= 1k [Nm]; M

D

= -2k [Nm]; DH = 1m

Exercise 2

Determine two force-couple systems acting in A and B equivalent to the represented system of forces:
F

1

= 10N, F

2

= 2N, F

3

= 3N, M

1

= 6Nm

Solution: R = 3.54i – 7.78j [N]; M

A

= -6k [Nm]; M

B

= 25.12k [Nm]

Exercise 3

Determine the equivalent force-couple in B when



= 0

○

. Determine also the value of



for which the the

calculated system of forces in B becomes a single force. F

C

= 16N, F

D

= 20N, M

A

= 2Nm.

Solution: R = 20i -16j [N]; M

B

= -1.6k [Nm];



= 45

○