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Mechanics and Waves by Dr. Sarkar by Aman Bhatia is a document available to read on EtoBox.
Here are the key steps to solve this problem: 1) Write the equation of motion in polar coordinates using Fθ = mrθθ: mrθθ = Fθ mrθθ = mrφφ 2) Divide both sides by mr: rθθ = rφφ 3) Integrate both sides with respect to t: rθ = Ar + B 4) Take the derivative of both sides with respect to t: rθ = A 5) Integrate both sides with respect to t: r = A ln(r) + B So the solution is: rθ = A ln(r) + B Where A and B are constants
- Author
- Aman Bhatia
- Language
- EN