Equilibrium problem help please

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In summary, we have a static equilibrium problem with a uniform bar pinned to a vertical wall and supported by a wire at an angle of 35 degrees. The maximum tension the wire can withstand is 537 N. We need to determine the maximum distance from the wall at which a mass M, with a weight of 355 N, can be placed before the wire breaks. This requires considering both rotational and translational equilibrium, with forces from the wall, wire, bar, and mass all contributing. A free body diagram can be helpful in visualizing these forces.
  • #1
PhysicsPhun
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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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  • #2
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.
 
  • #3
I got this one, forgot I asked for help. Thanks!
 

1. What is an equilibrium problem?

An equilibrium problem is a type of mathematical problem that deals with finding the balance point between two or more forces or variables. In science, it is often used to analyze systems that are in a state of equilibrium, where there is no net change occurring.

2. How do I solve an equilibrium problem?

The approach to solving an equilibrium problem depends on the specific problem and the forces or variables involved. Generally, you would need to set up equations that represent the forces or variables, and then use algebra or other mathematical methods to solve for the unknown variables. It is also important to carefully consider the assumptions and conditions of the problem.

3. What are some common types of equilibrium problems?

Some common types of equilibrium problems include static equilibrium, where the forces acting on an object are balanced and there is no net movement; dynamic equilibrium, where the rates of opposing processes are balanced; and chemical equilibrium, where the concentrations of reactants and products are balanced in a chemical reaction.

4. What are some practical applications of equilibrium problems?

Equilibrium problems have many practical applications in science and engineering. For example, they are used in physics to analyze the forces acting on structures such as bridges or buildings, and in chemistry to understand and control chemical reactions. They are also used in economics to model supply and demand, and in biology to study homeostasis in living organisms.

5. What are some tips for solving equilibrium problems?

Some tips for solving equilibrium problems include carefully identifying the forces or variables involved, drawing diagrams to visualize the problem, and setting up equations that represent the forces or variables. It is also important to carefully consider the assumptions and conditions of the problem, and to check your solution to ensure that it makes sense in the context of the problem.

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