How Do You Calculate Tension Correctly in a Pivoting Rod System?

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SUMMARY

The discussion focuses on calculating the tension in a cable supporting a 10,000-N shark via a 4.00-m pivoting rod. The initial calculation of tension (T) at 6144 N was incorrect as it only considered the horizontal component of the forces. A comprehensive approach requires accounting for both horizontal and vertical components to accurately determine the tension in the cable.

PREREQUISITES
  • Understanding of static equilibrium in physics
  • Knowledge of trigonometric functions in force resolution
  • Familiarity with tension calculations in mechanical systems
  • Basic principles of pivoting systems and moments
NEXT STEPS
  • Review static equilibrium conditions for systems with multiple forces
  • Study trigonometric resolution of forces in two dimensions
  • Learn about the principles of moments and torque in pivoting systems
  • Explore examples of tension calculations in similar mechanical setups
USEFUL FOR

Students in physics or engineering courses, mechanical engineers, and anyone involved in analyzing forces in pivoting systems.

Zynoakib
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Homework Statement


A 10 000-N shark is supported
by a rope attached to a 4.00-m
rod that can pivot at the base.
Calculate the tension in
the cable between the rod
and the wall, assuming the
cable is holding the system
in the position shown in Figure
P12.49.

image.jpg


Homework Equations

The Attempt at a Solution


(10000N)(4cos60) = (Tcos20)(4sin60)
T = 6144 N

Why is it wrong?
 
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You've only taken the horizontal component of the cable. What about the vertical component?
 
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