Calculating R: Solving an Integration Problem with Moving Plates

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In summary, there are two plates, green and blue, with a variable distance R between them. The green plate can move, causing changes in R. The question is to find the equation for the integral of R for a given height H. However, the provided solution of log(H)-log(0) is not solvable. More information is needed, such as the measurements and movement of the green plate, to accurately solve for R.
  • #1
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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  • #2
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:
 
  • #3
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)".
 

FAQ: Calculating R: Solving an Integration Problem with Moving Plates

What is an integration problem?

An integration problem refers to a mathematical problem that involves finding the integral of a given function. This involves calculating the area under the curve of the function within a given range.

What are the common methods used to solve integration problems?

The most commonly used methods for solving integration problems include substitution, integration by parts, and the use of trigonometric identities. Other methods such as partial fractions and numerical integration may also be used depending on the complexity of the problem.

Why is solving integration problems important?

Solving integration problems is important in various fields such as physics, engineering, and economics. It allows us to find the total value or quantity of a variable over a given range, which is useful in understanding real-world phenomena and making predictions.

How can I improve my skills in solving integration problems?

To improve your skills in solving integration problems, it is important to have a strong understanding of basic calculus concepts such as derivatives, limits, and the fundamental theorem of calculus. Practice is also crucial in developing problem-solving skills, so it is recommended to solve a variety of integration problems to build familiarity with different methods and techniques.

What are some common mistakes to avoid when solving integration problems?

Some common mistakes to avoid when solving integration problems include forgetting to add the constant of integration, incorrect substitution, and making algebraic errors. It is also important to carefully check the limits of integration and to simplify the integral before attempting to solve it.

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