Are these free-body diagrams correct (mass-spring-damper system)?

In summary, a free-body diagram is a simplified representation of an object or system that shows all the external forces acting on it. A mass-spring-damper system is a mechanical system used to model simple harmonic motion. A correct free-body diagram should include all relevant forces and be drawn accurately. Having a correct free-body diagram is important for understanding system dynamics and making accurate calculations. To improve free-body diagram skills, practice drawing diagrams for simple to complex systems and double-check with a partner or teacher.
  • #1
kal854
13
0
Problem: Write the equations as a set of two, second-order ordinary differential equations.

2d5a81.jpg



My attempt…does it look correct? Thanks in advance!

dz8m0n.jpg
 
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  • #2
Where's your doubt ?
 
  • #3
BvU said:
Where's your doubt ?

What do you mean?
 
  • #4
You post a picture of the question and you post a picture of your answer. Your question is: does it look correct?
Well, what if it does? Which parts are you confident about, which parts are somewhat less certain in your opinion?
 
  • #5
Bedtime for me, but to help you on your way: perhaps the x3 isn't really there...: the wall on the right looks pretty solid.
 

FAQ: Are these free-body diagrams correct (mass-spring-damper system)?

What is a free-body diagram?

A free-body diagram is a simplified representation of an object or system that shows all the external forces acting on it. It is used to analyze the motion and equilibrium of the object or system.

What is a mass-spring-damper system?

A mass-spring-damper system is a mechanical system that consists of a mass attached to a spring and a damper. It is commonly used to model the behavior of objects undergoing simple harmonic motion, such as a bouncing ball or a swinging pendulum.

How do you know if a free-body diagram is correct?

A correct free-body diagram should include all the relevant external forces acting on the object or system, such as gravity, normal force, friction, and applied forces. The diagram should also be drawn with accurate proportions and labeled clearly.

Why is it important to have a correct free-body diagram?

A correct free-body diagram is essential in understanding the dynamics of a system and predicting its behavior. It helps identify the forces that are responsible for the motion of the system and allows for accurate calculations of acceleration, velocity, and displacement.

How can I improve my free-body diagram skills?

Practice is the best way to improve your free-body diagram skills. Start by drawing diagrams for simple systems and gradually move on to more complex ones. It is also helpful to double-check your diagrams and calculations with a partner or a teacher to ensure accuracy.

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