Two vertical walls are separated by a distance of x. The wall on the left is perfectly smooth, while the wall on the right is rough. A uniform board is propped between them, as shown. Your objective: find the length of the longest board that can be thus propped between the two walls without falling. (i) Draw a free-body diagram of the board. Label clearly the pivot point you will use for calculating torques. Please draw forces directly on the diagram provided. Hints: Call the normal forces from the left and right walls L and R, respectively. One of the walls will also provide a friction force. Call the angle that the board makes with the horizontal 0.
Two vertical walls are separated by a distance of x. The wall on the left is perfectly smooth, while the wall on the right is rough. A uniform board is propped between them, as shown. Your objective: find the length of the longest board that can be thus propped between the two walls without falling. (i) Draw a free-body diagram of the board. Label clearly the pivot point you will use for calculating torques. Please draw forces directly on the diagram provided. Hints: Call the normal forces from the left and right walls L and R, respectively. One of the walls will also provide a friction force. Call the angle that the board makes with the horizontal 0.
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