A block of mass m hangs from the end of bar AB that is 8 meters long and connected to the wall in the xz plane. The bar is supported at A by a ball joint such that it carries only a compressive force along its axis. The bar is supported at end B by cables BD and BC that connect to the xz plane at points C and D respectively with coordinates given in the figure. Cable BD is elastic and can be modeled as a linear spring with a spring constant k = 500 N/m and unstretched length of 6.81 meters. Determine the mass m, the compressive force in beam AB and the tension force in cable BC.

A block of mass m hangs from the end of bar AB that is 8 meters long and connected to the wall in the xz plane. The bar is supported at A by a ball joint such that it carries only a compressive force along its axis. The bar is supported at end B by cables BD and BC that connect to the xz plane at points C and D respectively with coordinates given in the figure. Cable BD is elastic and can be modeled as a linear spring with a spring constant k = 500 N/m and unstretched length of 6.81 meters. Determine the mass m, the compressive force in beam AB and the tension force in cable BC.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
(a, 0, b),
e
X
D
(c, 0, d)
α
b
с
d
k
e
f
A
Variable Value
6.7 m
4.8 m
2.4 m
5.3 m
3.1 m
4.3 m
f
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
The mass of the block is
B
The compressive force in bar AB is
Newtons.
The tension in cable BC is
m
y
BY NC SA
2016 Eric Davishahl
kilograms.
Newtons.

A block of mass m hangs from the end of bar AB that is 8
meters long and connected to the wall in the xz plane. The
bar is supported at A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported at end B
by cables BD and BC that connect to the xz plane at points
C and D respectively with coordinates given in the figure.
Cable BD is elastic and can be modeled as a linear spring with
a spring constant k 500 N/m and unstretched length of 6.81
-
meters.
Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
(a, 0, b).
e
D
(c, 0, d)
α
b
с
d
A
Variable Value
6.7 m
4.8 m
2.4 m
5.3 m
3.1 m
4.3 m
e
f
f
B
X
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
m
y
Cci❀O
BY NC SA
2016 Eric Davishahl

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