Time period Conical pendulame
Definition: A conical pendulum is a small bob suspended from a string and set in UCM in a horizontal plane with the centre of its circular path below the point of suspension such that the string makes a constant angle θ with the vertical. OR A conical pendulum is a simple pendulum whose bob revolves in a horizontal circle with constant speed such that the string describes the surface of an imaginary right circular cone. Expressions for the angular speed, frequency and period of the bob of a conical pendulum: Consider a conical pendulum of string length L with its bob of mass m performing UCM along a circular path of radius r (Fig. 1.17). At every instant of its motion, the bob is acted upon by its weight mg and the tension F in the string. If the constant angular speed of the bob is o, the necessary horizontal centripetal force is
F = mw²r
F is the resultant of the tension in the string and the weight. Resolve F into components E cos vertically opposite to the weight of the bob and F sinθ horizontal. F cosθ balances
the weight. F sinθ is the necessary centripetal force.
F is the resultant of the tension in the string and the weight. Resolve Finto components F cos 0 vertically opposite to the weight of the bob and F sin θ horizontal. F cos θ balances the weight. F sinθ is the necessary centripetal force.
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