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.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Newton's Law of Motion

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