How to Approach Solving a Variable-Mass System with a Falling Drip?

Michael_0039 · Oct 1, 2019

S(t)=

$Printed equation: S(t) = (1/2)g{(1/2)t^2 + (M/m)t - (M^2/m^2) ln[1 + (m/M)t]}, with fractions shown in stacked form.$

Hi all!

Μy attempt to solve it:

I'm stuck here. An opinion ?

Thanks.

Michael_0039 · Oct 1, 2019

Edit last line:

S=t (ud-(gt/2)-ud(m/M))

* I dont't know what happened there

Michael_0039 · Oct 2, 2019

I made a new attempt to solve it, and reading more for those kind of problems. I made some errors at the previous posts, so this is my attempt now:

I'm on the right track ?

Thanks.

Note:

This is the description:

From: Fundamental University Fhysics Volume 1 (Mechanics), Marcelo Alonso & Edwart J. Finn

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