Calculating the Trochoid Curve with Parametric Equations for d < r

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The discussion focuses on calculating the area under the trochoid curve defined by the parametric equations x=rT-dsinT and y=r-dcosT for the case where d < r. A user attempts to integrate this from 0 to 2π but receives an unclear result, prompting questions about the specific calculations and steps taken. Other participants express frustration over the lack of detail in the problem statement and the absence of a clear integral setup. The conversation emphasizes the importance of providing complete information for effective assistance. Overall, clarity in presenting mathematical problems is crucial for productive discussions.
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.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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