A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely proportional to R 3 . Its time period of rev

Question

A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely proportional to R 3 . Its time period of revolution will be given by:

TestHub · Accepted Answer

F ∝ R 3 1 ​ ​ R 3 K ​ = m ω 2 R ​ ​ ​ ​ ​ ω 2 = m K ​ × R 4 1 ​ ( T 2 π ​ ) 2 = m K ​ × R 4 1 ​ T 2 ∝ R 4 T ∝ R 2

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