FrictionHard

Question

A worker wishes to pile a cone of sand into a circular area in his yard. The radius of the circle is r, and no sand is to spill onto the surrounding area. If μ is the static coefficient of friction between each layer of sand along the slope and the sand, the greatest volume of sand that can be stored in this manner is :

Options

A.μπr3
B.1/3μπr3
C.2 μπr2
D.2 μπr

Solution


In limiting condition μ =  tan θ =
⇒ h = μr
V = πr2h = πr2, μr

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