Equation of projectile with drag and lift

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SUMMARY

The discussion focuses on deriving an equation for the height of a projectile at a specific x position, taking into account variables such as spin, initial position, initial velocity, initial launch angle, and drag and lift coefficients. The Magnus effect is highlighted as a crucial factor due to the spin of the ball, which influences lift. Participants suggest researching projectile motion with air resistance to gain further insights into the topic.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with the Magnus effect in aerodynamics
  • Knowledge of drag and lift coefficients in physics
  • Basic proficiency in solving differential equations
NEXT STEPS
  • Research the equations of motion for projectiles with air resistance
  • Study the Magnus effect and its impact on spinning objects
  • Explore computational tools for simulating projectile motion, such as MATLAB or Python
  • Learn about drag and lift coefficient calculations for various shapes
USEFUL FOR

Physicists, engineers, and students studying dynamics, particularly those interested in the effects of air resistance and lift on projectile motion.

Katie Smith
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I need an equation that solves for the height of a projectile at a specific x position. The known variables are spin of the ball, initial position, initial velocity, initial launch angle and the drag and lift coefficients.
 
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Katie Smith said:
I need an equation that solves for the height of a projectile at a specific x position. The known variables are spin of the ball, initial position, initial velocity, initial launch angle and the drag and lift coefficients.
Welcome to the PF.

How does a projectile have "lift"? Do you mean like a golf ball with backspin?

I googled projectile motion with air resistance, and got lots of good hits...

https://www.google.com/webhp?source...UTF-8#q=projectile+motion+with+air+resistance
 
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