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.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 78PQ: A massless, horizontal beam of length L and a massless rope support a sign of mass m (Fig. P14.78)....
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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.
Solution
a)
1.
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. Solution a) 1.
m
Solution
a)
Let us first derive the expression for the tension.
By Newton's First Law
ΣΕ
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
() = sqrt(
By substitution, we arrive at the following:
T =
+ 2
)g/(
sqt (
))
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:m Solution a) Let us first derive the expression for the tension. By Newton's First Law ΣΕ 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 () = sqrt( By substitution, we arrive at the following: T = + 2 )g/( sqt ( )) 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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