How does the law of conservation of energy apply to machinesBased on the law of conservation of energy, how can we reasonably im
1 answer:
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Answer:
The tension is
The horizontal force provided by hinge
Explanation:
From the question we are told that
The mass of the beam is
The length of the beam is
The hanging mass is
The length of the hannging mass is
The angle the cable makes with the wall is
The free body diagram of this setup is shown on the first uploaded image
The force are the forces experienced by the beam due to the hinges
Looking at the diagram we ca see that the moment of the force about the fixed end of the beam along both the x-axis and the y- axis is zero
So
Now about the x-axis the moment is
=>
Substituting values
Now about the y-axis the moment is
Now the torque on the system is zero because their is no rotation
So the torque above point 0 is
The horizontal force provided by the hinge is
Now substituting for T
