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An isosceles triangular plates of base 3...

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.

Text Solution

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Area of the plate `=1/2xx"base"xx"altitude"`
`=1/2xx3xx3=4.5m^(2)`
Density of oil` =0.8xx1000-800kgm^(-3)`
Depth of `CG` of the plate from the free surface
`=(1/3)3=1m`
Now, total thrust on the plate
`=("plate area" )xx("pressure at the CG of the plate")`
`=(4.5)(800x10xx1)=36kN`
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