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A sealed cubical box is completely filled with water and is accelerated horizontally to the right with acceleration a. The resultant normal force exerted by the water on the top face of the box

1. passes through the centre of the top face
2. passes through a point to the right of the centre
3. passes through a point to the left of the centre
4. becomes zero

Correct answer: passes through a point to the left of the centre

Solution

With horizontal acceleration to the right, the effective gravity tilts so pressure increases toward the rear (left) side. On the top face the pressure is larger on the left than on the right, so the centroid of the pressure distribution (line of action of the resultant normal force) shifts left of the centre.

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