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I'm now working on a charge limiting system. I tried modeling it an easy way to be studied.

https://imageshack.us/a/img842/4572/3zvv.png [Broken]

A steel ball (mass "m") moves horizontaly at a continuous speed to the right.

The ball has to pass over the obstacle (king of cam) which implies the compression of the spring (stiffness "k"). The spring is prestressed and applies a force Fp to the ball before passing the cam.

I'd like to figure out the ball trajectory (ball inertia has to be considered), to determine the maximum height reached by the ball, and the distance "d" of the ball jump before coming back to the ground.

I made some research on the web but I feel lost... Which differential equation to start with ? Is it possible to use a spreadsheet to plot the trajectory ?

Many thanks for any kind of help.

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# Mass spring system

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