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Grade upto college level Mechanics

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 src=data:image/png;base64,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 where src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAAWCAIAAACzNgCbAAAApklEQVQ4je3TwQ3DIAwF0D/XH8jzeBov42HSAyEqFBtCVamH+AZIzx+H4PhN4XEf9w9cVwJiwXLbdSVA9bo2aZbbbueYYC3uxN2dwswdxF2awsRtHVeuTiF322uboGfLVqmuX+aaoOY1gWhtY0L1w5XXZcrOomsCkm9pyiCuaCbJVGLXlbNhno1GnzJ20zgd/imHbv6mXFkP77n9DzzoGj2FPO+X9QLJy9DjpkA0GAAAAABJRU5ErkJggg== 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.)
src=data:image/png;base64,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

Profile image of Amit Saxena
11 Years agoGrade upto college level
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1 Answer

Profile image of Navjyot Kalra
11 Years ago
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