Analytical question: circular rotation

Thread starter SAMAHIR
Start date May 4, 2021
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Analytical Circular Rotation

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A point P on a smaller wheel cannot trace a straight line path inside a circular road due to the nature of circular motion. The discussion references an illustration from a physics resource to clarify the concept. Participants express confusion about the mechanics of circular rotation and how it relates to linear paths. The geometry involved complicates the idea of a straight line being traced. Understanding these principles is essential for grasping the relationship between circular motion and linear trajectories.

May 4, 2021

SAMAHIR

Homework Statement: Circular Rotation

Relevant Equations: NO

Can a point P on the smaller wheel trace a straight line
path inside the circular road (like the walls of a well)

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May 4, 2021

anuttarasammyak

Gold Member

I do not catch what you mean. Do you mean what is illustrated in the lower figure of the attached I took from http://galileoandeinstein.physics.virginia.edu/tns_draft/index.html. ?

Thread 'Chain falling out of a horizontal tube onto a table'

My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...

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