The crate of mass m is held in position by three cables which are tied to a ring at D and to hook E as shown where d = 1.5 m. All dimensions are in meters. a) Draw the appropriate free-body diagram to represent the system. b) For the crate in static equilibrium, (i) express in its rectangular component the tension at point A in cable AD knowing magnitude is 4.36 kN, and that its (ii) determine the mass of the crate. T c) Without a detailed analysis, assess the effect of designing d = 2 m on the rectangular components of the tension in each cable.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter5: Three-dimensional Equilibrium
Section: Chapter Questions
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1-7 The crate of mass m is held in position by
three cables which are tied to a ring at D
and to hook E as shown where d = 1.5 m.
All dimensions are in meters.
a) Draw the appropriate free-body diagram
to represent the system.
rectangular
b) For the crate in static equilibrium,
(i) express
in
its
component the tension at point A in
cable AD knowing that its
magnitude is 4.36 kN, and
(ii) determine the mass of the crate.
T
c) Without a detailed analysis, assess the
effect of designing d = 2 m on the
rectangular components of the tension
in each cable.
L/
[b) (i) ZAD=-1į+3j + 3k kN; (ii) m = 1133 kg]
X
Figure
A
D
B
P1-7
Transcribed Image Text:1-7 The crate of mass m is held in position by three cables which are tied to a ring at D and to hook E as shown where d = 1.5 m. All dimensions are in meters. a) Draw the appropriate free-body diagram to represent the system. rectangular b) For the crate in static equilibrium, (i) express in its component the tension at point A in cable AD knowing that its magnitude is 4.36 kN, and (ii) determine the mass of the crate. T c) Without a detailed analysis, assess the effect of designing d = 2 m on the rectangular components of the tension in each cable. L/ [b) (i) ZAD=-1į+3j + 3k kN; (ii) m = 1133 kg] X Figure A D B P1-7
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