A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire. L m

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem
A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in
the wire.
m
Transcribed Image Text:Problem A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire. m
Solution
a)
Let us first derive the expression for the tension.
By Newton's First Law
SE =
the components of force that makes this so is
EF = T
= 0
Simplifying this results to
T =
g/
(4)
Analyzing the figure above, we arrive at
2+
(4) = sqrt(
%3D
+
By substitution, we arrive at the following:
T =
+ 2
)g/(
sqrt (
2+
))
If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to
T =
0.370 N
Transcribed Image Text:Solution a) Let us first derive the expression for the tension. By Newton's First Law SE = the components of force that makes this so is EF = T = 0 Simplifying this results to T = g/ (4) Analyzing the figure above, we arrive at 2+ (4) = sqrt( %3D + By substitution, we arrive at the following: T = + 2 )g/( sqrt ( 2+ )) If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to T = 0.370 N
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