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A square with side b and rectangle with side b and 2b are cut out from two plates of equal thickness with densities of 3.5 g//cm^(3) and 2 g//cm^(3) , the square being cut out of the heavier material . The square and the rectangle are fastened together in the form of the letter L and placed upside down on the bottom of an empty vessel . Will the object be stable if the vessel is filled with water ? |
Answer» Solution :` <br> Initially , `W_(1) = 2 b^(2) (2) = 4b^(2)` <br> `W_(2) = 3.5 b^(2)` <br> First we need to find exact location of normal . Normal must develop from ground exactly at the point where center of gravity exactly at the point where center of gravity of whole system (rectangle and square) is located . In this case it is somewhere on left side of line AB as shown in Fig . <br> Now we can say that whole systemis in rotational equilibrium . <br> <img src=) When we start liquid gradually normal force DECREASES (Fig) according to the followingequation `F_(b) + F_(N) = F_(C) = (W_(1) + W_(2))` where `F_(b)` is buoyant force on rectangular body . 
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