A container of weight Wis suspended from ring A. Cable BAC passes through the ring and is attached to fixed supports at B and C. Two forces P = Pi and Q = Qk are applied to the ring to maintain the container in the position shown. Knowing that W=270 lbf, determine: (a) The magnitudes (not vectors) P and Q. (b) The vectors P and Q canonically (cartesian vector notation) Hint: The tension is the same in both portions of cable BAC. 16 in. B 48 in. P 72 in. 13 in. X 24 in.

A container of weight Wis suspended from ring A. Cable BAC passes through the ring and is attached to fixed supports at B and C. Two forces P = Pi and Q = Qk are applied to the ring to maintain the container in the position shown. Knowing that W=270 lbf, determine: (a) The magnitudes (not vectors) P and Q. (b) The vectors P and Q canonically (cartesian vector notation) Hint: The tension is the same in both portions of cable BAC. 16 in. B 48 in. P 72 in. 13 in. X 24 in.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

A container of weight W is suspended from ring A. Cable BAC passes through the ring and is attached to
fixed supports at B and C. Two forces P = Pi and Q = Qk are applied to the ring to maintain the container
in the position shown. Knowing that W=270 lbf, determine:
-
(a) The magnitudes (not vectors) P and Q.
(b) The vectors P and Q canonically (cartesian vector notation)
Hint: The tension is the same in both portions of cable BAC.
yI
16 in.
Z
B
A
10
W
48 in.
P
72 in.
13 in.
X
24 in.

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