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: Foundations and Connections
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Author:Katz, Debora M.
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Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 33PQ: Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a...
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Kindly fill in the blanks. 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.

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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.
L
r
m
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
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/
(4)
Analyzing the figure above, we arrive at
(0) = sqrt(
By substitution, we arrive at the following:
T=
+ 2
)g/(
sqrt (
2+
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
2.
Transcribed Image Text: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/ (4) Analyzing the figure above, we arrive at (0) = sqrt( By substitution, we arrive at the following: T= + 2 )g/( sqrt ( 2+ 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 2.
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