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Physics Question on Inclined planes

Sand is to be piled up on a horizontal ground in the form of a regular cone of a fixed base of radius R. Coefficient of static friction between the sand layers is p. Maximum volume of the sand that can be piled up in the form of cone without slipping on the ground is

A

μR33π\frac{\mu R^3}{ 3 \pi}

B

μR33\frac{\mu R^3}{ 3 }

C

μR33μ\frac{\mu R^3}{ 3 \mu }

D

μπR33\frac{\mu \pi R^3}{ 3 }

Answer

μπR33\frac{\mu \pi R^3}{ 3 }

Explanation

Solution

Answer (d) μπR33\frac{\mu \pi R^3}{ 3 }