PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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If d=2m and F-200N
and the mass of ball
30 kg Determine the
forces in cables AC
and AB in equilibrium
1.5 m
F
-2 m-
Maximum size for new
files: 128MB
The L-shaped rod AOCD has an 80 kg mass hanging from it at B. The rod is leaning against a
smooth wall at A. Point B is half way up OA. There is a journal bearing at C and a thrust bearing
at D. They are properly aligned. A force F is pulling in the x-direction at B. Just as the rod comes
off of the wall at A, what is the magnitude of the force F.
1 m
B
F
1m
The figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The combined weight of the leg and cast is W=180 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=5 cm. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=30°. Accordingly, in order for the leg to remain in balance in the shown position;
a) Find the tensile force T1 in cable 1. (Write your result in N) Answerb) Find the tensile force T2 in cable 2. (Write your result in N) Answerc) Find the angle α of cable 1 with the horizontal. Response
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- The bent rod is supported at A, B, and C by smooth journal bearings. The rod is subjected to the force F = 620 N . The bearings are in proper alignment and exert only force reactions on the rod. Determine the components of reaction at the bearing AA using scalar notation. Determine the components of reaction at the bearing BB using scalar notation. Determine the components of reaction at the bearing CC using scalar notation.arrow_forwardThe figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The total weight of the leg and the cast is W=250 N. The distance between the points A and B where the cables are attached to the leg is given as L=100 cm and the angle of the leg with the horizontal is γ=6°. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=40°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) Answerb) Find the tensile force T2 in cable 2. (Write your result in N) Answerc) Find the angle α of cable 1 with the horizontal. Responsearrow_forwardDetermine the magnitude and direction with respect to the +x-axis on the reaction at A and at C. Note that the body is supported by pin at A and a roller at C. The bodys weight is negligible.arrow_forward
- The backhoe and its contents have a combined weight of 300 kN and center of gravity at point G. Find the resulting force in cylinder AE and linkages AB and AD, indicating whether they are in Tension or Compression. Given: L1 = 300 mm, L2 = 75 mm, L3 = 450 mm, θ = 40 °, Φ = 60 °.arrow_forwardIf the cylinder mass is 83 kg, determine the cylinder A mass to hold the system in the figure position.arrow_forwardThe dimensions a = 2 m and b = 1 m. The couple M = 2400 N-m. The spring constant is k = 6000 N/m, and the spring would be unstretched if h = 0. The system is in equilibrium when h = 2 m and the beam is horizontal. Determine the force F and thereactions at A.arrow_forward
- The figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The combined weight of the leg and the cast is W=210 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=6 cm. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=33°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) b) Find the tensile force T2 in cable 2. (Write your result in N) c) Find the angle α of cable 1 with the horizontal.arrow_forwardthe man is holding up the 35-kg ladder ABC by pushing perpendicular to ladder. The total length of the ladder is AC=6m. If maximum force that the man can exert is 400N at B which is 2m from A. determine the smallest angle, theta, at which the man can support the ladderarrow_forwardDetermine the magnitude and direction with respect to the +x axis on the reaction at A and at C. Note that the body is supported by pin at A and a roller at C. The body's weight is negligible. //2.4 kN-m -400 -200- 40° -250 Dimensions in mm -300 B 3 kNarrow_forward
- If the tension in the gantry-crane hoisting cable is T = 28 kN, determine the unit vector n in the direction of T and use n to determine the scalar components of T. Point B is located at the center of the container top.Assume a = 13 m, b = 8 m, c = 2 m, d = 6 m, e = 10 m, f = 5 m, and h = 18 m.arrow_forwardThe plant in the picture has mass of 29 kg, and is hanging at a distance of 1.4 meters from the wall. The horizontal rod has mass of 6.2 kg. Assume that its weight is evenly distributed, therefore it can be treated as a single force at the center of mass. The rod is 2 meters long, and there is a cable at a 23° angle supporting it at the end. Center of mass of rod from the point = 2/2=1m Using the wall as the axis of rotation, find the magnitude of the downward torque, from both the weight of the rod and the weight of the plant. t=458.64Nm a.The downward torque is balanced by the upward torque from the force of tension. Find the magnitude of the force of tension. T=?N b.F is the contact force between the rod and the wall. Using the other horizontal force in the problem, find the horizontal component of F (the normal force) that must be present for the rod to be at equilibrium. Fx=?N c.There is a vertical force from a component of the tension, but this is not enough to balance the…arrow_forwardIf the mass of cylinder C is 40 kg, determine the mass of cylinder A in order to hold theassembly in the position shown in the figure.arrow_forward
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