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1. Find the minimum value of h for which the gate shown will rotate counterclockwise if the gate cross section is

(a) rectangular, 4 ft × 4 ft;

(b) triangular, 4 ft at the base × 4 ft high. Neglect bearing friction.

1355_d2cadd67-f46f-4816-bc96-dc882451f010.png

2. A circular log of radius r is to be used as a barrier as shown in the figure below. If the point of contact is at O, determine the required density of the log.

380_aa2408fa-752f-4811-ab33-218d20e4d999.png

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