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.Let us first derive the expression for the tension.By Newton's First LawΣF = the components of force that makes this so isΣF = T - = 0Simplifying this results toT = g/(ϕ)Analyzing the figure above, we arrive at(ϕ) = sqrt( 2 + ) / ( / + )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 toT = 0.370 N Solutiona)Let us first derive the expression for the tension.By Newton's First LawEF = 0the components of force that makes this so isIF = T costetha= 0mgSimplifying this results toT= mg/ cosAnalyzing the figure above, we arrive at(4) = sqrt(+cosBy substitution, we arrive at the following:T= m+ 2sqrt (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 toT=0.370 N2.+ 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 thetension in the wire.Ld

Using Newton's law, ∑F=0 From the above expressions, Tcosϕ-mg=0 Simplifying this results to T=mgcosϕ…

Answered: a) Let us first derive the expression…

Physics for Scientists and Engineers: Foundations and Connections

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Chapter14: Static Equilibrium, Elasticity, And Fracture

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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.

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 = T - = 0

Simplifying this results to

T = g/(ϕ)

Analyzing the figure above, we arrive at

(ϕ) = sqrt( ² + ) / ( / + )

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

Solution
a)
Let us first derive the expression for the tension.
By Newton's First Law
EF = 0
the components of force that makes this so is
IF = T costetha
= 0
mg
Simplifying this results to
T= m
g/ cos
Analyzing the figure above, we arrive at
(4) = sqrt(
+
cos
By substitution, we arrive at the following:
T= m
+ 2
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.
+

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
d

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