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A rigid cylindrical container has inner ...

A rigid cylindrical container has inner radius r. A cork having radius `r + Delta r` and length L is to be fitted so as to close the container. Uniform pressure `(Delta P)` is needed on the curved cylindrical surface of the cork. Poisson’s ratio of a cork is almost zero, and its bulk modulus is B.

(a) Calculate `Delta P`
(b) After the cork is fitted how much force will be needed to pull it out of the container? Coefficient of friction between the container and the cork is `mu`.

Text Solution

Verified by Experts

The correct Answer is:
(a) `Delta P = (2B Delta r)/(r)` , (b) `F = 4pi mu BL Delta r`
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