solid uniform ball with mass m and diameter dis supported against a vertical frictionless wall by a thin massless wire o ength L. a) Find the tension in the wire.

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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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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.
m
Solution
a)
Let us first derive the expression for the tension.
By Newton's First Law
ΣΕ -
the components of force that makes this so is
ΣF 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/(
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
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. m Solution a) Let us first derive the expression for the tension. By Newton's First Law ΣΕ - the components of force that makes this so is ΣF 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/( 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 0.370 N
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