PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Determine the force in each cable when the mass of the load is 3000 kg and the angle is 0 = 35°
B
Load
2m
1m
1m
-2m-
2m
2m
The crate weighs 450 kg andis supported
by three cables as shown in the figure
3 m
below.
D
a. Draw a free-body diagram for point A
b. Express the tension in each cable in
terms of the unit vector andits
unknown magnitude
c. Determine
the
magnitude
of
the tension in each cable
d. Whatis the maximum weight for a cratel
that can be supported if the maximum
tension in any çable is 900 kg?
The three forces, each of magnitude F, are applied to the crate. Determine F so that the three forces are equivalent to a single 400-lb force
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Similar questions
- Show that all diagonal members of the truss carry the same force, and find the magnitude of this force.arrow_forwardThe horizontal boom carries the weight W=108lb at A. The boom is supported by the cables AB and AC. The tensions in the cables are TAB=120lb and TAC=160lb. Determine the single force R that is equivalent to three forces acting on the boom at A.arrow_forwardThe uniform, 30-lb ladder is raised slowly by pulling on the rope attached at A. Determine the largest angle that the ladder can attain if the maximum allowable tension in rope BC is 120 lb.arrow_forward
- The woman is trying to move the crate of weight W by pulling on the rope at the angle to the horizontal. Find the smallest possible tension that would cause the crate to slide and the corresponding angle .arrow_forwardThe cable supports three 400-lb loads as shown. If the maximum allowable tension in the cable is 900 lb, find the smallest possible sag hC at C.arrow_forwardThe cable is loaded by an 80-lb vertical force at C and a horizonal force P at B. Determine P.arrow_forward
- The 40-kghomogeneous disk is placed on a frictionless inclined surface and held in equilibrium by the horizontal force P and a couple C (C is not shown on the figure). Find P and C.arrow_forwardIf the maximum force that any member can support is SOO N in tension and 700 N in compression, determine the maximum force that can be supported at joint B. Hint: write the force in each member in terms of P 2m marrow_forwardBodies A and B are joined by a cord parallel to the inclined plane as shown. Under body A which weighs 200 kN U = 0.20 while U = 0.50 under body B which weighs 300 kN. Determine the angle ⌀ at which motion impends. What is then the tension in the cord?arrow_forward
- Chain AB is 1-m long and chain AC is 1.2-m long. If the distance BC is 1.5 m, and AB can support a maximum force of 2 kN, whereas AC can support a maximum force of 0.8 kN, determine the largest vertical force F that can be applied to the link at A.arrow_forwardThe 200-lb uniform container is suspended by a 6-ft-long cable, which is attached to the sides of the container and passes over the small pulley located at O. If the cable can be attached at either points A and B, or C and D, determine which attachment produces the least amount of tension in the cable. What is this tension?arrow_forwardThe uniform crate shown in the figure weighs 200 lb. It is pulled up the incline by a counterweight W of 400 lb. Find the maximum and minimum values of D so that the crate does not tip over as it slides up the incline. Determine the weight W if the 200 lb crate is on the verge of tipping forward as it slides up the incline. Assume D = 3.32 ftarrow_forward
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