Help me with STATICS OF RIGID BODIES A sculpture consisting of a 7.75lb metal rod with right-angle bends is to be hung against a vertical wallusing a ball joint at O and two cables CD and AB as illustrated in figure 1. All straight parts of the rod areeither horizontal or vertical. The center of mass of the rod is located at point E, where OE=(-1.75i +0.036j+2.1k)ft; the weight of the rod passes vertically through that point. Points B and D are located onthe x-y plane.0.75'C-----------4.5'D:E1'aI0.5'2 10.5'2.5'Figure 1: The sculpture (shaded light red) is suspended by two cables CD and ABand attached to the wall at O via a ball joint. a) Draw a rigid body diagram of the sculpture. Indicate the reactions from the ball joint at O on yourdiagram. [b) Write the expression for the vectors OA,OB, OC, and OD.c) Write a vector equation to show how the magnitude of the tension in cable AB (TAB) can bedetermined by analyzing the moments about the axis OC by determining the moment of TAB and theweight about the origin and resolving that moment along OC. Use Octave/MatLab to evaluate the TAB-d) Similarly, write the vector equation showing how the length "a" can be found by analyzing themoments about the axis OD. Use your results from part c to evaluate "a". [1e) Find the magnitude of the tension in cable CD (Tco) by taking moments about the origin. Use yourresults from parts c and d to evaluate Tco. [¹e) Find the reaction forces on the sculpture from its connection at O. L-

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A sculpture consisting of a 7.75lb metal rod with right-angle bends is to be hung against a vertical wall using a ball joint at O and two cables CD and AB as illustrated in figure 1. All straight parts of the rod are either horizontal or vertical. The center of mass of the rod is located at point E, where OE=(-1.75i + the weight of the rod passes vertically through that point. Points B and D are located on 0.036j+2.1k)ft; the x-y plane.

A sculpture consisting of a 7.75lb metal rod with right-angle bends is to be hung against a vertical wall using a ball joint at O and two cables CD and AB as illustrated in figure 1. All straight parts of the rod are either horizontal or vertical. The center of mass of the rod is located at point E, where OE=(-1.75i + the weight of the rod passes vertically through that point. Points B and D are located on 0.036j+2.1k)ft; the x-y plane.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Help me with STATICS OF RIGID BODIES

A sculpture consisting of a 7.75lb metal rod with right-angle bends is to be hung against a vertical wall
using a ball joint at O and two cables CD and AB as illustrated in figure 1. All straight parts of the rod are
either horizontal or vertical. The center of mass of the rod is located at point E, where OE=(-1.75i +
0.036j+2.1k)ft; the weight of the rod passes vertically through that point. Points B and D are located on
the x-y plane.
0.75'
C
------
-----
4.5'
D:
E
1'
a
I
0.5'
2 10.5'
2.5'
Figure 1: The sculpture (shaded light red) is suspended by two cables CD and AB
and attached to the wall at O via a ball joint.

a) Draw a rigid body diagram of the sculpture. Indicate the reactions from the ball joint at O on your
diagram. [
b) Write the expression for the vectors OA,OB, OC, and OD.
c) Write a vector equation to show how the magnitude of the tension in cable AB (TAB) can be
determined by analyzing the moments about the axis OC by determining the moment of TAB and the
weight about the origin and resolving that moment along OC. Use Octave/MatLab to evaluate the TAB-
d) Similarly, write the vector equation showing how the length "a" can be found by analyzing the
moments about the axis OD. Use your results from part c to evaluate "a". [1
e) Find the magnitude of the tension in cable CD (Tco) by taking moments about the origin. Use your
results from parts c and d to evaluate Tco. [¹
e) Find the reaction forces on the sculpture from its connection at O. L-

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