A solid uniform ball with massm 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
A solid uniform ball with massm 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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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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.
Let us first derive the expression for the tension.
By Newton's First Law
ΣF =
the components of force that makes this so is
ΣF = T - = 0
Simplifying this results to
T = g/(ϕ)
Analyzing the figure above, we arrive at
(ϕ) = sqrt( 2 + ) / ( / + )
By substitution, we arrive at the following:
T = ( + 2 ) g / ( sqrt ( 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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