Calculating R: Solving an Integration Problem with Moving Plates

[Oscar6330]

There are two plates, green and blue as shown in the diagram below.



The green plate can move, due to which the distance R between the plates changes.

I want to find the value of R. What will be the equation for integral of R for complete height H. Please explain the solution. I tried to solve it but came up with log(H)-log(0) in the equation. Log 0 cannot be solved.

Thankyou for your help

 

[tiny-tim]

Welcome to PF!

Hi Oscar6330! Welcome to PF!

Show us your full calculations, and then we can see what went wrong, and we'll know how to help

 

[HallsofIvy]

Is H measured halfway "up" the green plate- that is, is H the "average" distance between the plates? Is the green plate moving at a constant speed or is its speed some given function of t? Does the angle of the green plate change and, if so, how?

All of those are things we would have to know in order to understand what it is you are asking. As tiny-tim said, please tell us HOW you "came up with log(H)-log(0)".