Equilibrium Problem: Solving for Unknown Masses in a Mobile

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In summary, solving for unknown masses in a mobile requires the use of equilibrium equations to balance the forces acting on the system. This involves setting up a system of equations and solving for the unknown masses using algebraic methods. The equilibrium equations take into account the forces of gravity, tension, and horizontal and vertical components of the system. By properly setting up and solving the equations, the unknown masses can be determined and the mobile can remain in a state of equilibrium, where all forces are balanced.
  • #1
ratt10mm
.3m>>>>>| .075m
---------------
|>>>>>15m<<|>>.05m
A>>>>>>>-------------
>>.175m>>|.05m>>>>>|
>>------------>>>>>>B
>>|>>>>>>>>>|
>>D>>>>>>>>>C

( > are spaces and - are the crossbars.)
Alright pretend this is a mobile in equilibrium. I'm given that object B is .735kg and i need to determine the masses of the other ojects...
 
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  • #2
Hi ratt10mm,
15m looks wrong, isn't it rather .15m?

Anyway, you know the law of leverage, plus you know that B must be balanced against C+D. That's where to start, I think.
 
  • #3
What the heck?[?]
 

What is an equilibrium problem?

An equilibrium problem involves finding the unknown masses of objects in a system that are in equilibrium, or balanced, with each other.

How do you solve for unknown masses in a mobile?

To solve for unknown masses in a mobile, you can use the principle of equilibrium, which states that the sum of all forces acting on an object must be equal to zero. You can set up equations using this principle and solve for the unknown masses.

What are some common types of equilibrium problems?

Some common types of equilibrium problems include static equilibrium, where the objects are not moving, and dynamic equilibrium, where the objects are moving at a constant speed.

What are some strategies for solving equilibrium problems?

Some strategies for solving equilibrium problems include drawing free-body diagrams to visualize the forces acting on each object, breaking down the problem into smaller parts, and using algebraic equations to solve for the unknown masses.

What are some real-world applications of equilibrium problems?

Equilibrium problems have many real-world applications, such as determining the weight distribution on a bridge, calculating the forces in a truss structure, and understanding the stability of structures like buildings and cranes.

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