ProblemA 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 thetension in the wire.LrmSolutiona)Let us first derive the expression for the tension.By Newton's First LawΣF 0the components of force that makes this so isΣFT cosphimg= 0Simplifying this results toT= mg/ cosAnalyzing the figure above, we arrive at(4) = sqrt( L2+ 2Lr%3Dcos+ |By substitution, we arrive at the following:T= m( d+ 2 L)g/( 2sqrt( L2 + 2LrIf 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 toT= 470.370 N

Given : Mass of ball m Diameter of the ball d Length of wire L

Answered: Problem A solid uniform ball with mass…

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

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

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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Question

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
Solution
a)
Let us first derive the expression for the tension.
By Newton's First Law
ΣF 0
the components of force that makes this so is
ΣFT cosphi
mg
= 0
Simplifying this results to
T= m
g/ cos
Analyzing the figure above, we arrive at
(4) = sqrt( L
2
+ 2Lr
%3D
cos
+ |
By substitution, we arrive at the following:
T= m
( d
+ 2 L
)g/( 2
sqrt
( L
2 + 2Lr
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= 47
0.370 N

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