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
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
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 64P: When using a pencil eraser, you exert a vertical force of 6.00N at a distance of 2.00cm from the...
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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.
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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