The left-hand end of a uniform rod of mass 2.00 kgkg and length 1.10 mm is attached to a vertical wall by a frictionless hinge. The rod is held in a horizontal position by an aluminum wire that runs between the right-hand end of the rod and a point on the wall that is above the hinge. The cross-sectional radius of the wire is 2.50 mmmm, and the wire makes an angle of 30.0∘∘ with the rod. What is the length of the wire? Express your answer with the appropriate units.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Static Equilibrium And Elasticity
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Problem 47AP: A 500-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,...
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The left-hand end of a uniform rod of mass 2.00 kgkg and length 1.10 mm is attached to a vertical wall by a frictionless hinge. The rod is held in a horizontal position by an aluminum wire that runs between the right-hand end of the rod and a point on the wall that is above the hinge. The cross-sectional radius of the wire is 2.50 mmmm, and the wire makes an angle of 30.0∘∘ with the rod.

 

What is the length of the wire?
Express your answer with the appropriate units.
 
An object of mass 90.0 kgkg is suspended from the right-hand end of the rod. What is the increase in the length of the wire when this object is added?
Express your answer with the appropriate units.
 
 
In your analysis do you need to be concerned that the lengthening of the wire means that the rod is no longer horizontal?
 
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