(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?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Gravitational force

In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.

Acceleration Due to Gravity

In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.

Question

1. For the conical pendulum shown below, the bob moves in a horizontal
circle of radius r at a constant speed v. The mass of the bob is m. The cord sweeps a cone that makes
an angle with respect to the vertical. The x and y axes are shown in the figure with positive x
pointing towards the center of the circle and positive y pointing upwards.
X
0 T
y
3

(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
ΣF=
= 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?

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