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. m

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
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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.
m
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. m
a)
Let us first derive the expression for the tension.
By Newton's First Law
the components of force that makes this so is
Simplifying this results to
Analyzing the figure above, we arrive at
(6) = sqrt(
By substitution, we arrive at the following:
T =
(
EF=T
T=
+2
EF=
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 =
)
)g/(
))
)/(
0.370 N
= 0
(0)
sqrt (
Transcribed Image Text:a) Let us first derive the expression for the tension. By Newton's First Law the components of force that makes this so is Simplifying this results to Analyzing the figure above, we arrive at (6) = sqrt( By substitution, we arrive at the following: T = ( EF=T T= +2 EF= 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 = ) )g/( )) )/( 0.370 N = 0 (0) sqrt (
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