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Moment of inertia

Consider a uniform square plate of side a and mass m. The mome

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Consider a uniform square plate of side $a$ and mass $m$ . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is (a) $\frac{5}{6} m a^{2}$ (b) $\frac{1}{12} m a^{2}$ (c) $\frac{7}{12} m a^{2}$ (d) $\frac{2}{3} m a^{2}$

Views: 5,514 students

Updated on: May 18, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2008

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Sofia Discussed

Consider a uniform square plate of side

a

and mass

m

. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is (a)

\frac{5}{6} m a^{2}

(b)

\frac{1}{12} m a^{2}

(c)

\frac{7}{12} m a^{2}

(d)

\frac{2}{3} m a^{2}

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Exp. (d)
Moment of inertia of square plate about

x x^{'}

\frac{m a ^{2}}{6}

, therefore moment of inertia about

z z^{'}

can be computed using parallel axes theorem,
Solution Image

I_{z z^{'}} = I_{x x^{'}} + m (\frac{a}{2})^{2}

= \frac{m a ^{2}}{6} + \frac{m a ^{2}}{2}

= \frac{2 m a ^{2}}{3}

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Question Text	Consider a uniform square plate of side $a$ and mass $m$ . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is (a) $\frac{5}{6} m a^{2}$ (b) $\frac{1}{12} m a^{2}$ (c) $\frac{7}{12} m a^{2}$ (d) $\frac{2}{3} m a^{2}$
Updated On	May 18, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	374
Avg. Video Duration	6 min

Consider a uniform square plate of side $a$ and mass $m$ . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is (a) $\frac{5}{6} m a^{2}$ (b) $\frac{1}{12} m a^{2}$ (c) $\frac{7}{12} m a^{2}$ (d) $\frac{2}{3} m a^{2}$

Text solutionVerified

Filo tutor solutions (3)

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Consider a uniform square plate of side a and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is (a) 65​ma2 (b) 121​ma2 (c) 127​ma2 (d) 32​ma2

Text solutionVerified

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Questions from JEE Mains 2008 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from System of Particles and Rotational Motion in the same exam

Practice more questions from System of Particles and Rotational Motion

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Consider a uniform square plate of side $a$ and mass $m$ . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is (a) $\frac{5}{6} m a^{2}$ (b) $\frac{1}{12} m a^{2}$ (c) $\frac{7}{12} m a^{2}$ (d) $\frac{2}{3} m a^{2}$