How Far Can a Mass Be Placed on a Bar Before the Supporting Wire Breaks?

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The discussion centers on a static equilibrium problem involving a horizontal bar supported by a wire at an angle, with a mass that can be positioned along the bar. The bar's weight and the weight of the mass create forces that must be balanced to prevent the wire from breaking. Key considerations include both rotational and translational equilibrium, with the pinned wall providing a constraint force. A free body diagram is recommended for visualizing the forces and moments acting on the system. The goal is to determine the maximum distance from the wall at which the mass can be placed without exceeding the wire's tension limit.
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A uniform horizontal bar of length L = 3 m and weight 232 N is pinned to a vertical wall and supported by a thin wire that makes an angle of theta = 35o with the horizontal. A mass M, with a weight of 355 N, can be moved anywhere along the bar. The wire can withstand a maximum tension of 537 N. What is the maximum possible distance from the wall at which mass M can be placed before the wire breaks?

I believe that this is an equilibrium problem, my problem is that i don't know where to start.

Any help would be appreciated.
 
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This is a static equilibrium problem. There are both rotational and translational considerations. The point pinned to the wall gives a constraint force. The wire gives a force at a moment. The weight of the bar gives a force about a moment. The weight of the mass M gives a force about a moment. Consider rotational equilibrium about the point pinned to the wall.

Draw a free body diagram.
 
I got this one, forgot I asked for help. Thanks!
 
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