Four thin uniform rods each of length L and mass m are joined to form a square. The moment of inertia of square about an axis along its one diagonal is.

Question

Four thin uniform rods each of length L and mass m are joined to form a square. The moment of inertia of square about an axis along its one diagonal is. (A) (m L2/6) (B) (2/3) m L2 (C) (3 m L2/4) (D) (4 m L2/3)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/33d29975832ac80c3ff444b41ab50d65-.png" /> I =4((m L2 sin 2 45°/3)) =(4 m L2/6) =(2/3) m L2

Q. Four thin uniform rods each of length $L$ and mass $m$ are joined to form a square. The moment of inertia of square about an axis along its one diagonal is.

$\frac{m L ^{2}}{6}$

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

$\frac{3 m L ^{2}}{4}$

$\frac{4 m L ^{2}}{3}$

$I = 4 (\frac{m L ^{2} s i n ^{2} 4 5 ^{\circ}}{3})$
$= \frac{4 m L ^{2}}{6}$
$= \frac{2}{3} m L^{2}$

Q. Four thin uniform rods each of length L and mass m are joined to form a square. The moment of inertia of square about an axis along its one diagonal is.

6mL2​

32​mL2

43mL2​

34mL2​