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. L r m

College Physics
11th Edition
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.
d
m
Solution
a)
Let us first derive the expression for the tension.
By Newton's First Law
ΣF
the components of force that makes this so is
ΣF - T
= 0
Simplifying this results to
T =
g/
(4)
Analyzing the figure above, we arrive at
(4) = sqrt(
+
By substitution, we arrive at the following:
2
T =
+ 2
)g/(
sqrt (
))
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: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. d m Solution a) Let us first derive the expression for the tension. By Newton's First Law ΣF the components of force that makes this so is ΣF - T = 0 Simplifying this results to T = g/ (4) Analyzing the figure above, we arrive at (4) = sqrt( + By substitution, we arrive at the following: 2 T = + 2 )g/( sqrt ( )) 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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