Calculating the Trochoid Curve with Parametric Equations for d < r

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Homework Help Overview

The discussion revolves around calculating the area under a trochoid curve defined by parametric equations for the case where the distance d is less than the radius r. Participants are examining the integration process involved in this calculation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to integrate the parametric equations for the trochoid to find the area. There are questions regarding the specifics of the integration process and the clarity of the problem statement.

Discussion Status

The discussion is ongoing, with some participants seeking clarification on the original poster's intentions and the details of their calculations. There is a noted lack of explicit consensus on the approach being taken, and some guidance has been offered regarding the need for clearer problem statements.

Contextual Notes

There is an indication that the original poster may not have provided sufficient detail in their problem statement, which is affecting the ability of others to assist effectively.

nameVoid
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x=rT-dsinT
y=r-dcosT
trochoid for d<r
integrating this on 0,2pi = 4x[0,pi/2] I am getting 2r^2pi-8rd+d^2pi text is just showing 2r^2pi+d^2pi
 
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nameVoid said:
x=rT-dsinT
y=r-dcosT
trochoid for d<r
integrating this on 0,2pi = 4x[0,pi/2] I am getting 2r^2pi-8rd+d^2pi text is just showing 2r^2pi+d^2pi

Integrating what? Tell us what you are trying to calculate.
 
area
 
Do you expect us to spend time on your problems when you don't bother putting any effort into your problem statement?

How do you expect us to point out your mistake if you don't even bother to write down the integral, including steps, you tried to compute.
 

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