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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. r

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. r

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.78P: The chain OA is 25 ft long and weighs 5 lb/ft. Find the maximum force in the chain and the distance...
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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. L r m
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. L r m
Solution а) Let us first derive the expression for the tension. By Newton's First Law ΣF the components of force that makes this so is ΣFT = 0 Simplifying this results to T= g/ (4) Analyzing the figure above, we arrive at (4) sqt( 2+ %3D + By substitution, we arrive at the following: T = + 2 )g/( sqrt ( )) + If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a lenath of 30 cm. The tension is equal to For Blank 17 0.370 N T =
Transcribed Image Text:Solution а) Let us first derive the expression for the tension. By Newton's First Law ΣF the components of force that makes this so is ΣFT = 0 Simplifying this results to T= g/ (4) Analyzing the figure above, we arrive at (4) sqt( 2+ %3D + By substitution, we arrive at the following: T = + 2 )g/( sqrt ( )) + If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a lenath of 30 cm. The tension is equal to For Blank 17 0.370 N T =
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