Calculating R: Solving an Integration Problem with Moving Plates

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The discussion focuses on calculating the distance R between two moving plates, specifically a green plate and a blue plate. The user, Oscar6330, seeks to derive an integral equation for R over a height H but encounters an issue with the expression log(H) - log(0), which is undefined. Participants emphasize the need for additional details, such as the measurement of H, the speed of the green plate, and any changes in angle to provide accurate assistance in solving the integration problem.

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Oscar6330
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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
 
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Welcome to PF!

Hi Oscar6330! Welcome to PF! :wink:

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

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