Suppose your car gets stuck in a flooding area, and the water rises around you. Don't worry – the water doesn't rise high enough to pose any danger, but you'd like to be able to get out of the car so that you don't have to wait for the floodwaters to subside. The question is, how hard will you have to push in order to open the door? The diagram below shows the geometric information you need for the problem. 1265 mm 195 mm 825 mm 1. If the water rises to 150 mm above the bottom of the door, calculate the hydrostatic force on the door (using standard units). Show your work. 2. If you try to open this door, you would most likely push on the edge furthest from the hinges. Why? (Hint: look up the moment of a force) 3. Would it be possible for you to open this door? Assume that you push on the edge furthest from the hinges, and for the purposes of the moment that the hydrostatic force is located halfway between the hinges and the other edge. Justify your answer. 4. Find the maximum height of the water that would still allow you to open the door, using the same assumptions as above.

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.