Submerged within a tank containing water and SAE 50 oil is solid sphere made from pine wood (SG = 0.38) and fastened with a thin cable to the bottom of the tank. What is the tension in cable AB if the sphere is submerged as shown? Hint: The volume of a sphere is (4/3)³ where r is the radius. (a) If the cable AB is shortened, will the tension increase, decrease, or remain the same? Explain. (b) If the thickness of the oil layer is increased, will the tension increase, decrease, or remain the same? Explain. SAE 50 oil Water 0.6m B 1.0m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Submerged within a tank containing water and SAE 50 oil is solid sphere made from pine
wood (SG = 0.38) and fastened with a thin cable to the bottom of the tank. What is the
tension in cable AB if the sphere is submerged as shown? Hint: The volume of a sphere is
(4/3)л³ where r is the radius. (a) If the cable AB is shortened, will the tension increase,
decrease, or remain the same? Explain. (b) If the thickness of the oil layer is increased,
will the tension increase, decrease, or remain the same? Explain.
SAE 50 oil
Water
0.6m
YA
B
1.0m
Transcribed Image Text:Submerged within a tank containing water and SAE 50 oil is solid sphere made from pine wood (SG = 0.38) and fastened with a thin cable to the bottom of the tank. What is the tension in cable AB if the sphere is submerged as shown? Hint: The volume of a sphere is (4/3)л³ where r is the radius. (a) If the cable AB is shortened, will the tension increase, decrease, or remain the same? Explain. (b) If the thickness of the oil layer is increased, will the tension increase, decrease, or remain the same? Explain. SAE 50 oil Water 0.6m YA B 1.0m
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