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) Let us first derive the expression for the tension. By Newton's First Law ZF = the components of force that makes this so is EF = T = 0 Simplifying this results to 8/ (4) Analyzing the figure above, we arrive at (4) = sqrt( By substitution, we arrive at the following: T= + 2 Og/( sqrt ( 24 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

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 85PQ
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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)
Let us first derive the expression for the tension.
By Newton's First Law
ZF =
the components of force that makes this so is
EF = T
= 0
Simplifying this results to
8/
(4)
Analyzing the figure above, we arrive at
(4) = sqrt(
By substitution, we arrive at the following:
T=
+ 2
Og/(
sqrt (
24
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: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) Let us first derive the expression for the tension. By Newton's First Law ZF = the components of force that makes this so is EF = T = 0 Simplifying this results to 8/ (4) Analyzing the figure above, we arrive at (4) = sqrt( By substitution, we arrive at the following: T= + 2 Og/( sqrt ( 24 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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