Linear systems in physics

In summary, The conversation discusses the use of microprocessors in physics applications, specifically in linear systems such as electric networks and systems of spring and mass. The conversation also mentions that static analysis of particles, rigid bodies, and structures as well as certain hydraulic systems can also lead to linear systems of equations. However, it is noted that dynamic systems of springs and masses are linear differential equations rather than algebraic equations.
  • #1
juan avellaneda
37
0
hello

i need to make a proyect based on a microprocessor for an aplication in physics, since a micro just can add , substract or multiply in integer numbers
i think the only aplication could be in linear systems like

electric networks
system of spring and mass

im wondering if does exist a different kind of application that uses only linear systems .

thks
 
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  • #2
Static analysis of particles, rigid bodies, and structures will lead to linear systems of equations. So will certain hydraulic systems--in fact the equations are formally identical to those for resistive electric circuits (pressure is analogous to voltage, flow rate to current, and pressure drops to loads).

system of spring and mass

Only if it's static. Dynamic systems of springs and masses are linear differential equations, not algebraic equations.
 
  • #3


Hello there,

Linear systems play a crucial role in physics, especially in areas such as electric networks and systems of spring and mass. These systems involve quantities that can be represented by linear equations, making it easier to analyze and solve problems using mathematical methods.

In terms of using a microprocessor for applications in physics, linear systems can be a great starting point as they only require basic operations such as addition, subtraction, and multiplication. However, there are other applications in physics that utilize linear systems, such as in optics, acoustics, and fluid mechanics.

For example, in optics, linear systems can be used to describe the behavior of light passing through different mediums. In acoustics, linear systems can be used to study the propagation of sound waves. In fluid mechanics, linear systems can be used to analyze the flow of fluids through pipes or channels.

Overall, linear systems are a fundamental concept in physics and have numerous applications in various fields. I would suggest exploring different areas of physics to see how linear systems can be applied and how a microprocessor can be used to solve problems in those fields. Good luck with your project!
 

Related to Linear systems in physics

1. What is a linear system in physics?

A linear system in physics is a mathematical model used to describe the behavior of a physical system. It follows the principle of superposition, meaning that the output of the system is directly proportional to the input.

2. What are the key components of a linear system?

The key components of a linear system are the input, output, and the system itself. The input is the stimulus or force applied to the system, the output is the response of the system, and the system is the physical entity that transforms the input into the output.

3. How do you solve a linear system in physics?

To solve a linear system in physics, you need to use mathematical methods such as matrix algebra, differential equations, and Laplace transforms. These methods allow you to express the system in a simplified form and find the relationship between the input and output variables.

4. What are some real-life examples of linear systems in physics?

Linear systems can be found in many physical phenomena, such as the motion of a simple pendulum, the flow of electrical current in a circuit, and the behavior of a mass-spring system. They are also used in fields like engineering, economics, and biology to model various processes.

5. What are the limitations of linear systems in physics?

While linear systems are useful in many applications, they have some limitations. They assume that the system is time-invariant and that the response is directly proportional to the input. In reality, many systems may exhibit non-linear behavior, and external factors such as friction and air resistance can affect the output. Therefore, linear systems may not always accurately predict the behavior of a physical system.

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