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

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 12.35P: Review. A 2.00-m-long cylindrical steel wire with a cross-sectional diameter of 4.00 mm is placed...
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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.
r
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 Τ
= 0
Simplifying this results to
T =
g/
(Ф)
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. r 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 Τ = 0 Simplifying this results to T = g/ (Ф) 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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