An isosceles triangular plates of base 3 m and altitude 3 m is immersed in oil vertically with its base coinciding with the free surface of the oil of relative density 0.8. Determine the total thrust.
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a
24 kN
b
48 kN
c
36 kN
d
none of these
answer is C.
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Detailed Solution
Area of the plate =1/2× base × altitude =1/2×3×3=4.5m2 Density of oil =0.8×1000=800kgm−3 Depth of c.g. of the plate from the free surface =h3=(1/3)3=1mPressure at COM of plate=ρgh3=800×10×1 PaNet thrust force acts at center of mass of plate. Now, total thrust on the plate = (plate area) × (pressure at the c.g. of the plate) =(4.5)(800×10×1)=36kN