A plate whose shape is half disk of radius 8 meters is vertically subm

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A plate whose shape is half disk of radius 8 meters is vertically submerged in water. The top of the plate is 2 m below the water level. (The dashed line segment indicates the water level.) Use ρ = 1000 kg/m3 and g = 9.8 m/s2. (a) Set up an appropriate coordinate system, draw the strip on the plate and determine its area Ak. (b) Determine the pressure Pk and force Fk experienced by the strip. (c) Set up an integral that represents the hydrostatic force experienced by the plate. The integral must contain all the details. Do not evaluate the integral.

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A plate whose shape is half disk of radius 8 meters is vertically submerged in water. The top of the plate is

2 m

below the water level. (The dashed line segment indicates the water level.) Use

ρ = 1000 k g / m^{3}

and

g = 9.8 m / s^{2}

.
(a) Set up an appropriate coordinate system, draw the strip on the plate and determine its area

A_{k}

.
(b) Determine the pressure

P_{k}

and force

F_{k}

experienced by the strip.
(c) Set up an integral that represents the hydrostatic force experienced by the plate. The integral must contain all the details. Do not evaluate the integral.