(a) Draw a FBD In your notebook, draw a free body diagram showing all the forces on the bob. Resolve all the forces in the x and y directions. In the diagram, which direction is the radial direction? (b) Set up Newton's Second Law Equations in the x and the y-directions SYMBOLICALLY in terms of mg, 8, and T ΣFx= = max = may Think: Which acceleration, ax or ay, represents the radial acceleration -? Which acceleration, a, or ay, is zero? ΣΕ, = (c) Calculate Numerical Values For the conical pendulum shown below, the bob moves in a horizontal circle of radius 0.1 m, at a constant speed v. The mass of the bob is 91 g. The cord sweeps a cone that makes an angle 29.5° with respect to the vertical. (i) Calculate the tension T in the string. T= N (ii) Calculate the speed v of the bob. m/s V= Think: Is the speed independent of the mass of the bob?

(a) Draw a FBD In your notebook, draw a free body diagram showing all the forces on the bob. Resolve all the forces in the x and y directions. In the diagram, which direction is the radial direction? (b) Set up Newton's Second Law Equations in the x and the y-directions SYMBOLICALLY in terms of mg, 8, and T ΣFx= = max = may Think: Which acceleration, ax or ay, represents the radial acceleration -? Which acceleration, a, or ay, is zero? ΣΕ, = (c) Calculate Numerical Values For the conical pendulum shown below, the bob moves in a horizontal circle of radius 0.1 m, at a constant speed v. The mass of the bob is 91 g. The cord sweeps a cone that makes an angle 29.5° with respect to the vertical. (i) Calculate the tension T in the string. T= N (ii) Calculate the speed v of the bob. m/s V= Think: Is the speed independent of the mass of the bob?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 71PQ

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