Laws Of Motion Question 409

Question: A worker piles up sand onto a circular area of radius R. No sand is to spill onto the surrounding area. The coefficient of friction of sand on sand is μ . The greatest volume of the sand that can be stored in the manner is

Options:

A) πμR33

B) πμR36

C) πR33μ

D) None

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Answer:

Correct Answer: A

Solution:

The weight component of a particle is balanced by static friction

mgsinθ=μ(mgcosθ)

μ=tanθ=hR

So h=μR

Volume =13πR2h=13πR2(μR)=πμR33



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