AP EAMCET · PHYSICS · Laws of Motion
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 \(\mu\). Maximum volume of the sand can be piled up in the form of cone without slipping on the ground is
- A \(\frac{\mu R^3}{3 \pi}\)
- B \(\frac{\mu R^3}{3}\)
- C \(\frac{\pi R^3}{3 \mu}\)
- D \(\frac{\mu \pi R^3}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{\mu \pi R^3}{3}\)
Step-by-step Solution
Detailed explanation
Let \(h=\) critical height of sand cone of radius \(R\). Then, for a sand particle to be in equilibrium (it must no slips to the ground)…
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