Idea Transcript
4.35 M4.3 The ball M (weight Q and radius a) and the weight P are suspended by the cables as shown. Determine the angle φ when the system is in equilibrium. Use OM = b.
O ϕ a M
P B78. What is the load acting on the barrel at D, if a = 100 cm, b = 10 cm and M = 300 kN.
a A
C
B b D
M
B1. The mass M1 (weight P) is supported by rod and is held in position shown by weight M2. Determine weight M2 and tension in the rod. Ο α
Α
M1
M2
B132. Homogeneous cube is lodged between the smooth surfaces as shown. Its weight is P and size a. The resultant of the reaction force at the vertical wall is acting at point K. Determine reactions at A and K, and the distance BK. C D K A
B α
Ja12.25. Determine the centroid of the area shown , assuming that they are constructed from the homogenous plate. All dimensions are in cm. y
25
10
15 15
φ16
O
x 15
40
B, 140. For the load and supports shown, determine the reactions. Neglect the weight of the beam. y q A a
x
B
l
8.13 Using method of joints, calculate the force in each member of the truss shown. F = 40 N and a = 30 cm. (Ja 1.19 – 1.20)
B a Fa a a G H I A
C D o 60
F Figure P8.13
E 8.56 Determine forces in the members HG and CD. F1 = 20 N, F2 = 30 N, F3 = 40 N, F4 = 10 N, F5 = 60 N, a = 20 cm. F2 J
I
H G
F E
D 3a 4a
F1
K A L M N BC F4 F3 2a 2a 2a 2a 2a 2a
M5.5 Determine forces in all members of the truss.
6m 2 1
7m
3
3m
5
8kN 4 1m 1m
8.? – 8.? Determine forces in each truss member , when P = 3 kN, Q = 2 kN, a = 20 cm, b =40cm and c = 50 cm. Force P is always acting along the line AB and force Q along the line DE. Q D
4 1
6
P 3
2
5
c
A
B
a
E b
M4.34 Bridge consists of two segments connected at A by a hinge. The weights of each segment (40 kN) are applied at D and E, respectively. Bridge is loaded by a truck represented by a force P = 20 kN. Determine the reactions at B, C and force at A. y P
3m
1m
A
10m B
E 4m
1m
4m
D 1m
C
x
M3.37 Bridge consists of the three sections AC, AB and BD connected by pins at A and B. The section AB can be represented by a uniformly distributed a weight of 15 kN/m, while sections AC and BD by 10 kN/m. Determine reactions at the supports C, E, F, and D when the part FD is loaded by the passing train, its effect may be represented by a uniformly distributed the weight of 30 kN/m.
20m
C
15m
A
50m
15m
E
20m
B
F
D
216. Cylinder of radius R and weight P is in equilibrium. Cylinder is loaded by the force as shown in the Fig. ___. Determine the coefficient of the rolling resistance. y
A
D
2r
2R
α
B x C Ja4.17 P1 M1
A 2.0
3.5
C
B 2.5
45°
2.0
P2 D 2.5
M2
E
3.5
Ja5.9
q 45°
2.5
C A
B 3
2
2
4.10 The boat tows three water skiers. The skier A makes an angle of 300 with the direction of the boat ride, while the skier B makes an angle of 50. The skier C makes a negative angle of 250. Assume that the forces that are acting on each skier are 200 lb. Calculate the magnitude of the resultant force acting on the boat and its angle relative to the direction of the boat ride.
M6.12(222) Determine the forces in the pole AB and cables AC and AD that support two electrical wires. The wires are perpendicular one to another, are in the horizontal plane and each one is under the tension T. Angle CBD = 900.
A
90° D
60° 60° B
C
D
A ϕ 90°
C
5.23 (M3.23) The railroad crane mounted on the cart is riding along the tracks as shown. Weight of the cart applied at A is 30 kN, weight of the crane applied at C is 10kN, weight of the counter balance D is 20kN, weight of the link FG applied at H is 5kN. Determine the largest load Q that can be safely hoisted by the crane.
Fig. P5.23
165.. Determine the reaction forces and moments at A, B and C.
y q B A
a
C
D x
l
b F
Ja12.10. Determine the centroid of the area shown , assuming that they are constructed from the homogenous plate. All dimensions are in cm. y
8
4
15
0 R1
O
8 2
x