A 5.77 kg ball is attached to the top of a vertical pole with a 2.33 m length of massless string. The ball is struck, causing it to revolve around the pole at a speed of 4.39 m/s in a horizontal circle with the string remaining taut. Calculate the angle 0, between 0° and 90°, that the string makes with the pole. Use g = 9.81 m/s². 0 = What is the tension T of the string? T = N

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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A 5.77 kg ball is attached to the top of a vertical pole with a
2.33 m length of massless string. The ball is struck, causing it
to revolve around the pole at a speed of 4.39 m/s in a
horizontal circle with the string remaining taut. Calculate the
angle 0, between 0° and 90°, that the string makes with the
pole. Use g = 9.81 m/s².
0 =
What is the tension T of the string?
T =
N
Transcribed Image Text:A 5.77 kg ball is attached to the top of a vertical pole with a 2.33 m length of massless string. The ball is struck, causing it to revolve around the pole at a speed of 4.39 m/s in a horizontal circle with the string remaining taut. Calculate the angle 0, between 0° and 90°, that the string makes with the pole. Use g = 9.81 m/s². 0 = What is the tension T of the string? T = N
Expert Solution
Step 1

Given data:

Mass of ball, m = 5.77 kg

Length of string, l = 2.33 m

Speed of ball, v = 4.39 m/s

g = 9.81 m/s2

Let angle string makes with pole be θ

And T be tension in massless string

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