How can I draw a Cam profile for cycloidal motion with base circle = 40mm and max follower = 30mm using the equation
How can I draw a Cam profile for cycloidal motion with base circle = 40mm and max follower = 30mm using the equation
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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How can I draw a Cam profile for cycloidal motion with base circle = 40mm and max follower = 30mm using the equation
![The formula shown in the image is as follows:
\[ s = h \left[ \frac{\theta}{\beta} - \frac{1}{2\pi} \sin \left( 2\pi \frac{\theta}{\beta} \right) \right] \]
This equation involves several variables:
- \( s \): The resultant value obtained after applying the formula.
- \( h \): A constant multiplier.
- \( \theta \): A variable, often an angle in radians.
- \( \beta \): A constant or parameter.
- \( \pi \): The mathematical constant pi (\(\pi \approx 3.14159\)).
The formula comprises a combination of trigonometric, multiplicative, and subtractive operations. The expression inside the square brackets, \(\left[ \frac{\theta}{\beta} - \frac{1}{2\pi} \sin \left( 2\pi \frac{\theta}{\beta} \right) \right]\), is first evaluated, where the term \(\frac{\theta}{\beta}\) is adjusted by subtracting the value \(\frac{1}{2\pi} \sin \left( 2\pi \frac{\theta}{\beta} \right)\). This adjusted value is then multiplied by the constant \(h\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd77dcb84-af02-4446-8ce7-270bf4d1245a%2F84692e80-12ef-4a6b-a12a-7be5ee3bc413%2Fqoo4emi_processed.png&w=3840&q=75)
Transcribed Image Text:The formula shown in the image is as follows:
\[ s = h \left[ \frac{\theta}{\beta} - \frac{1}{2\pi} \sin \left( 2\pi \frac{\theta}{\beta} \right) \right] \]
This equation involves several variables:
- \( s \): The resultant value obtained after applying the formula.
- \( h \): A constant multiplier.
- \( \theta \): A variable, often an angle in radians.
- \( \beta \): A constant or parameter.
- \( \pi \): The mathematical constant pi (\(\pi \approx 3.14159\)).
The formula comprises a combination of trigonometric, multiplicative, and subtractive operations. The expression inside the square brackets, \(\left[ \frac{\theta}{\beta} - \frac{1}{2\pi} \sin \left( 2\pi \frac{\theta}{\beta} \right) \right]\), is first evaluated, where the term \(\frac{\theta}{\beta}\) is adjusted by subtracting the value \(\frac{1}{2\pi} \sin \left( 2\pi \frac{\theta}{\beta} \right)\). This adjusted value is then multiplied by the constant \(h\).
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