HELP: Beam hinged to a wall question - inertia, torque etc

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SUMMARY

The discussion centers on calculating the tension in a cable supporting a uniform 8 m, 1500 kg beam hinged to a wall at a 30-degree angle. The equilibrium conditions are established using net torque and net force equations, specifically net torque = 0, net force (x) = 0, and net force (y) = 0. The solution involves resolving the tension and weight of the beam into components and equating torques to find the tension in the cable. Additionally, the inward force exerted by the beam on the wall is determined by summing the components of weight and tension along the beam.

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Homework Statement


A uniform 8 m 1500 kg beam is hinged to a wall and supported by a thin cable attached 2 m from the free end of the beam as shown in the figure. The beam is supported at an angle of 30 degrees above the horizontal.
a) free diagram
b) find the tension in the cable
c) how hard does the beam push inward on the wall?

yg.10.79.jpg



Homework Equations



net torque = 0 / net force (x) = 0 / net force (y) =0

The Attempt at a Solution



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Let T be the tension in the string.
Resolve it into two components.
One perpendicular to beam, and another along the beam.
Resolve the weight of the beam into two components.
One perpendicular to beam, and another along the beam.
In the equilibrium position, equate the torque due to the components of weight and the tension and find T.
For part c) add the components of weight and the tension along the beam.
 

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