Fluid Mechanics: Can't Solve Exercise 3?

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SUMMARY

The discussion centers on solving Exercise 3 in Fluid Mechanics, which involves analyzing the motion of a cart influenced by two jets with identical velocity, area, and density. Participants clarify that while the forces from the jets may cancel each other out, a mathematical model for velocity U(t) and acceleration a(t) still exists. The key takeaway is that even with equal and opposite forces, the system can be analyzed to derive expressions for motion.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with fluid dynamics concepts
  • Knowledge of mathematical modeling techniques
  • Basic principles of force and acceleration
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  • Research mathematical modeling in fluid dynamics
  • Learn about Newton's second law and its applications in fluid mechanics
  • Explore the concept of jet propulsion and its effects on motion
  • Study the derivation of equations for acceleration and velocity in dynamic systems
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Students and professionals in engineering, particularly those focusing on fluid mechanics, as well as educators seeking to enhance their understanding of motion influenced by fluid jets.

JSBeckton
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I am having trouble starting exercise 3. If both jets have the same velocity,area, and the same density what would cause the cart to move? If they are mean that the cart is given an intial velocity and I need to give an expression fot the acceleration and velocity I am thinking that the two forces would be equal and opposite and therefore cancel each other out. In that case the velocity remains constant and the acceleration is 0 due to no friction.

Can anyone tell me if there is something I am missing?

Thanks
 
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Well if they are just asking for an expression for U(t) and a(t) so even if they cancel out there is still a mathematical model that it will follow.


But either way if you find the answer can you post it this is interesting?
 

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