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

AI Thread Summary
To calculate the tension in a pivoting rod system supporting a 10,000-N shark, the initial attempt used only the horizontal component of the cable, leading to an incorrect tension value of 6144 N. The correct approach requires considering both the horizontal and vertical components of the forces acting on the system. The tension in the cable must balance the weight of the shark and account for the angles involved in the setup. A complete analysis of both components is necessary to arrive at the accurate tension value. Properly applying the equations of equilibrium will yield the correct tension in the cable.
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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