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

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Chapter1: Units, Trigonometry. And Vectors
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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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