What is the Torque on a Crane Bar in a Fatal Accident Investigation?

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SUMMARY

The discussion centers on calculating the torque exerted on a crane bar during a fatal accident investigation involving a 45.0 kg aluminum bar and a 225 kg package. The bar was positioned at a 45° angle when the hinge failed, with the support cable at a 30° angle. The hinge's failure is under scrutiny, as it is rated to support three times the weight of the package. Key equations for torque, weight, and force equilibrium are provided to aid in the analysis of the situation.

PREREQUISITES
  • Understanding of basic physics concepts such as torque and force equilibrium.
  • Familiarity with the equations of motion, specifically Torque = Force x Length.
  • Knowledge of weight calculation using Weight = Mass x Gravity.
  • Ability to visualize and draw free-body diagrams for mechanical systems.
NEXT STEPS
  • Study the principles of torque in mechanical systems, focusing on real-world applications.
  • Learn how to construct and analyze free-body diagrams for complex structures.
  • Research the implications of hinge ratings and failure modes in engineering design.
  • Explore case studies on crane accidents and the forensic analysis involved.
USEFUL FOR

This discussion is beneficial for mechanical engineers, forensic investigators, and safety analysts involved in accident investigations and crane operations.

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Homework Statement



You are a member of a medical forensics team
investigating a fatal accident at a freight
yard. A new crane for lifting cargo broke
while lifting a package and the police suspect
sabotage. The crane consists of 45.0 kg, 15 ft
lightweight aluminum bar supported at its
base by a hinge that allows the bar to pivot
vertically. A support cable runs from the
other end of the bar to the ground. When the
hinge failed, the bar was at an angle of 45° to
the ground and the support cable was at an
angle of 30° to the ground. The yard owner
says it is impossible for this to be an accident
since the hinge is rated to support a force of
three times the weight of the 225 kg package
that was being lifted. The package was lifted
straight up from the end of the bar at a
constant speed.


Homework Equations



Torque = Force x Length

Weight = Mass x Gravity

ƩFx = 0

ƩFy = 0

ƩT = 0

T = Torque


The Attempt at a Solution



I'm having trouble setting up the picture for this problem. I understand how to solve for forces and am still getting comfortable with torque but I'm having a difficult time drawing out the picture for this problem as I felt like the information given was a bit vague. Any help is appreciated!
 
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Draw a 45 degree right angled triangle, with the horizontal base, AB and the vertical, AC, being the two equal sides. The hypotenuse, BC, represents the bar, and the vertical is the load cable.
Extend the base AB out beyond B to a point P s.t. angle APC is 30 degrees. PC is the support cable.
 

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