Juggling Simulation: Investigating the Relationship Between X & Y Velocity

AI Thread Summary
In a juggling simulation focused on projectile motion, the relationship between initial y-velocity and x-velocity is explored. It is noted that while these velocities are conceptually independent, they are interconnected as components of a velocity vector. Increasing the initial y-velocity results in a higher trajectory but also leads to a decrease in the initial x-velocity due to the conservation of the vector's modulus. This means that if one component increases, the other must decrease to maintain the overall velocity. Understanding this relationship is crucial for accurately simulating juggling dynamics.
Meowzers
Messages
20
Reaction score
0
Hi, I am working with a juggling simulation to better my understanding of projectile motion. However, I encountered a slight problem.

To my understanding, an initial y velocity and an initial x velocity are independent of each other. A y-velocity affects the height of how high the ball travels in the air whereas the x-velocity affects the horizontal displacement of the ball (to the other hand of the juggler).

So, let's say I want the ball to be juggled higher, why does it seem to also affect the x-velocity (as I observed in the simulation) when it's supposed to be independent of the height (y-axis)? The higher inital y-velocity I input, the higher the ball goes. So why does the inital x-velocity need to decrease? Isn't it supposed to stay the same?
 
Physics news on Phys.org
Velocity is a vector. In your case it is decomposed in x and y components. If the modulus of your vector is constant, increasing one component will decrease the other.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top