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28 August, 23:44

11-8 Consider a heavy car submerged in water in a lake with a flat bottom. The driver's side door of the car is 1.1 m high and 0.9 m wide, and the top edge of the door is 10 m below the water surface. Determine the net force acting on the door (normal to its surface) and the location of the pressure center if (a) the car is well-sealed and it contains air at atmospheric pressure and (b) the car is filled with water.

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  1. 29 August, 01:20
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    position of centre of mass of door from surface of water

    = 10 + 1.1 / 2

    = 10.55 m

    Pressure on centre of mass

    atmospheric pressure + pressure due to water column

    10 ⁵ + hdg

    = 10⁵ + 10.55 x 1000 x 9.8

    = 2.0339 x 10⁵ Pa

    the net force acting on the door (normal to its surface)

    = pressure at the centre x area of the door

    =.9 x 1.1 x 2.0339 x 10⁵

    = 2.01356 x 10⁵ N

    pressure centre will be at 10.55 m below the surface.

    When the car is filled with air or it is filled with water, in both the cases pressure centre will lie at the centre of the car.
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