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:

Question

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) (2/3) m a2 (B) (7/12) m a2 (C) (5/6) m a2 (D) (1/12) m a2

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/651585b51f16016e3298cf5aac5052a3-.png" /> IA=IC M+m((a/√2))2 IA=(m a2/6)+(m a2/2) IA=(2/3) m a2

Q. 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:

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

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

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

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

$I_{A} = I_{CM} + m (\frac{a}{2})^{2}$
$I_{A} = \frac{m a ^{2}}{6} + \frac{m a ^{2}}{2}$
$I_{A} = \frac{2}{3} m a^{2}$

Q. 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:

32​ma2

127​ma2

65​ma2

121​ma2