ENGR0135 - Statics and Mechanics of Materials 1 (2211)Homework #6
1. Replace the 40 lb force exerted on the wrench shown below with an equivalent force-couple system at the nut A.
40 lb
5 in
A
2. Determine the resultant of the four forces acting on the truss shown below and deter-mine where the resultant intersects the x-axis.
2m 2m
2m
2m
2mA B x
y
10 kN
60◦
2 kN
2 kN
2 kN
3. Four parallel forces act on a concrete slab, as shown below. Determine the resultantof the forces and locate the intersection of the line of action of the resultant with thexy-plane.
x
y
z
10 in 10 in 10 in 10 in
16 in
16 in
100 lb
100 lb
150 lb
200 lb
4. The homogeneous plate shown below weighs 240 lb. The magnitude of the force T incable CD is 200 lb. Replace the weight and cable forces by an equivalent force-couplesystem at hinge A.
10 in
21 in63 in
64 in
59 in
42 in
50 in
x
y
z
A B
C
D
T
5. Three particles with masses of 20, 30, and 100 kg are located at points with (x, y, z)coordinates of (−5,−5, 10), (−5,−5, 5), and (0, 2, 0), respectively, where distances aremeasured in meters. Determine the coordinates of the center of mass for the threeparticles.
6. Determine the x- and y-coordinates of the centroid of the shaded area shown below.
x
y
y =x2
2b
b
2
b