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 8 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 = max y m (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=

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Chapter1: Units, Trigonometry. And Vectors
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ΣFy
ayı
=
Think: Which acceleration, a, or a,, represents the radial acceleration
is zero?
= may
V=
(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 80 g. The cord sweeps a cone that
makes an angle 29 ° with respect to the vertical.
(i) Calculate the tension T in the string.
Enter to 2 significant figures
T=
✔N
(ii) Calculate the speed v of the bob.
Enter to 2 significant figures
m/s
Think: Is the speed independent of the mass of the bob?
✓2
-? Which acceleration, a, or
Transcribed Image Text:ΣFy ayı = Think: Which acceleration, a, or a,, represents the radial acceleration is zero? = may V= (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 80 g. The cord sweeps a cone that makes an angle 29 ° with respect to the vertical. (i) Calculate the tension T in the string. Enter to 2 significant figures T= ✔N (ii) Calculate the speed v of the bob. Enter to 2 significant figures m/s Think: Is the speed independent of the mass of the bob? ✓2 -? Which acceleration, a, or
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
=
Ꮎ
max
T
>
(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?
m
(b) Set up Newton's Second Law Equations in the x and the y-directions SYMBOLICALLY in
terms of mg, 0, and T
ΣFx=
Transcribed Image Text: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 = Ꮎ max T > (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? m (b) Set up Newton's Second Law Equations in the x and the y-directions SYMBOLICALLY in terms of mg, 0, and T ΣFx=
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