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

Question

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) (μ R3/ 3 π) (B) (μ R3/ 3 ) (C) (μ R3/ 3 μ ) (D) (μ π R3/ 3 )

Tardigrade Admin · Accepted Answer

Correct answer is (d) (μ π R3/ 3 )

Q. 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

$\frac{μ R ^{3}}{3 π}$

$\frac{μ R ^{3}}{3}$

$\frac{μ R ^{3}}{3 μ}$

$\frac{μ π R ^{3}}{3}$

Correct answer is (d) $\frac{μ π R ^{3}}{3}$

Q. 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

3πμR3​

3μR3​

3μμR3​

3μπR3​

Correct answer is (d) 3μπR3​

$\frac{μ R ^{3}}{3 π}$

$\frac{μ R ^{3}}{3}$

$\frac{μ R ^{3}}{3 μ}$

$\frac{μ π R ^{3}}{3}$

Correct answer is (d) $\frac{μ π R ^{3}}{3}$