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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Rotational Motion

Olympiad workbook · NSEP · Rotational Motion

A can is a hollow cylinder of radius R and height h . Its ends are...

A can is a hollow cylinder of radius

R

and height

h

. Its ends are sealed with circular sheets of the same material. The can is made of thin sheet metal of areal mass density

\sigma \left(\mathrm{kg} / \mathrm{m}^2\right). Moment of inertia of this closed can about its vertical axis of symmetry is <img src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252FNEET%252FOlympiad%252F5wBe8Bp8baKQgQZ8qAZAQq975ReTuTy-McGkh8W-etM.original.fullsize.png%3Falt%3Dmedia&clean=1&v=qxfig138" data-qx-orig-src="/assets/diagrams/qx-book-176d9910d26589d0.png" data-qx-storage-src="/assets/diagrams/qx-book-176d9910d26589d0.png"><br>

Options

A $\pi R^3 \sigma(h+2 R)$
B $\pi R^3 \sigma(h+R)$
C $\pi R^3 \sigma(2 h+R)$
D $2 \pi R^3 \sigma(h+R)$

Correct answer

C. $\pi R^3 \sigma(2 h+R)$

Step-by-step solution

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