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

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Author:Raymond A. Serway, Chris Vuille
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Chapter8: Rotational Equilibrium And Rotational Dynamics
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Hi here's a question on physics.

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.
d
r
Solution
a)
Let us first derive the expression for the tension.
By Newton's First Law
ΣF
the components of force that makes this so is
ΣFΤ
= 0
Simplifying this results to
T =
g/
|(4)
Analyzing the figure above, we arrive at
12+
|() = sqrt(
%3D
By substitution, we arrive at the following:
T =
+ 2
)g/(
|2+
sqrt (
))
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: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. d r Solution a) Let us first derive the expression for the tension. By Newton's First Law ΣF the components of force that makes this so is ΣFΤ = 0 Simplifying this results to T = g/ |(4) Analyzing the figure above, we arrive at 12+ |() = sqrt( %3D By substitution, we arrive at the following: T = + 2 )g/( |2+ sqrt ( )) 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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