A block of mass m hangs from the end of bar AB that is 5.5 meters long and connected to the wall in the az 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 az plane at points Č 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 = 600 N/m and unstretched length of 4.78 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 5.5 meters long and connected to the wall in the az 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 az plane at points Č 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 = 600 N/m and unstretched length of 4.78 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

A block of mass m hangs from the end of bar AB that is 5.5 meters long and connected to the wall in the
az plane. The bar is supported atA 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 az plane at points Č 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 = 600 N/m and unstretched length of 4.78 meters.
Determine the mass m, the compressive force in beam AB and the tension force in cable BC.
D
(с, 0, d)
C
(a, 0, b),
В
A
y
f
m
e
Cc 090
BY NC SA
2016 Eric Davishahl
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
a
6.3 m
6.2 m
3.4 m
d
6.9 m
e
4.9 m
f
4.6 m
The mass of the block is
kilograms.
The compressive force in bar AB is
Newtons.
The tension in cable BC is
Newtons.

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