Explanation Given Information: Two equilateral triangles, where one floats in water with its base and the other base above the water surface The side of the triangle = a The height of the triangle = h= 3 2 a The specific gravity of the body = 0.9 The specific gravity of the water = 1.0 For the body to be in stable equilibrium, the Meta centre should be above the centre of the gravity G M = I V d i s p − B G (GM>0) BG − the distance between the centre of buoyancy and the centre of gravity I − Moment of the Inertia V disp − Volume of water displaced Calculation: For two triangles I V d i s p is the same; therefore, if BG is large, then the position is less stable, so calculate BG for two positions For position, base of the triangle in the water v o l u m e o f t h e t r i a n g l e a b o v e t h e w a t e r s u r f a c e = 0 . 1 × 3 4 a 2 t r i a n g l e a b o v e t h e s u r f a c e i s a l s o e q u i l a t e r a l t h e r e f o r e l e n g t h o f t h e s i d e o f t r i a n g l e a b o v e s u r f a c e = 0.1 a h e i g h t o f t h e t r i a n g l e a b o v e s u r f a c e = 0.3 a 2 C G o f t h e t r i a n g l e = 2 3 × 3 2 a = a 3 =0 .577a C e n t r e o f t h e b u o y a n c y f r o m t o p v e r t i c e = ( ( 3 4 a 2 × 0

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.134P

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Which position among the two positions of the triangle is more stable?

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Chapter 2, Problem 2.133P

Chapter 2, Problem 2.135P

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Chapter 2 Solutions

Fluid Mechanics

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