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ENGR0135 - Statics and Mechanics of Materials 1 Homework #5
1. Two forces are applied to point C on the truss structure shown below. Determine themoments of
(a) The 3.5 kN force about points A and B.
(b) The 4 kN force about points A and B.
2m 2m
2m
2m
2m 4 kN
3.5 kN
A B
C
2. A 150 lb force acts at point A on a bracket, as shown below. Determine the momentof the force about point B
(a) Using the scalar approach.
(b) Using the vector approach.
A
B
x
y
30◦
150 lb10 in
10 in
3. In the figure below, the magnitude of the tension T in cable CD is 200 lb. Determinethe moment of T about point B
(a) Using a position vector from B to D.
(b) Using a position vector from B to C.
10 in
21 in63 in
64 in
59 in
42 in
50 in
x
y
z
A B
C
D
T
4. In the figure below, the magnitude of the tension T in cable CD is 200 lb. Determinethe component of the moment of the force that rotates the door about the axis of thehinges. You may use your results from Problem 3.
10 in
21 in63 in
64 in
59 in
42 in
50 in
x
y
z
A B
C
D
T
5. The magnitude of the force F in the figure below is 800 N. Determine the scalarcomponent of the moment of the force about line OC.
x
y
z
A
B
C
F
250mm200mm
200mm
O
6. Determine the moment of the couple shown below and the perpendicular distancebetween the two forces.
A
B
30◦
30◦
150 lb
150 lb
x
10 in
5 in
y
7. Two couples are applied to a rectangular block as shown below. Determine the mag-nitude of the resultant couple C and the direction angles associated with the resultantcouple vector.
x
y
z
A
B
C250mm
200mm
200mm
3.5 kN
3.5 kN
4 kN
4 kN
