A hoop rolls on a horizontal ground without slipping with a linear speed V. Speed of a particle P on the circumference of the hoop at angle θ is

Question

A hoop rolls on a horizontal ground without slipping with a linear speed V. Speed of a particle P on the circumference of the hoop at angle θ is, 2 v sin θ 2, v sin θ, 2 v cos θ 2, v cos θ

MARKS App · Accepted Answer

This can assumed as a pure rotation about point of contact say O with angular velocity ω = v R , R is the radius of hoop. speed of P will be : v p = op ω = 2 R sin θ 2 ω or v p = 2 R ω sin θ 2 or v p = 2 v sin ( θ 2 )

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