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A worker wishes to pile sand onto a circular area in his yard. The radius of the circle is R. No sand is to spill onto the surrounding area; see Fig. Show that the greatest volume of sand that can be stored in this manner is where is the coefficient of static friction of sand on sand. (The volume of a cone is Ah/3, where A is the base area and h is the height.)

A worker wishes to pile sand onto a circular area in his yard. The radius of the circle is R. No sand is to spill onto the surrounding area; see Fig. Show that the greatest volume of sand that can be stored in this manner is  where  is the coefficient of static friction of sand on sand. (The volume of a cone is Ah/3, where A is the base area and h is the height.)

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
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