Four identical solid spheres each of mass m and radius a are placed with their centres on the four corners of a square of side b . The moment of inertia of the system about one side of square where th

Question

Four identical solid spheres each of mass $m$ and radius $a$ are placed with their centres on the four corners of a square of side $b$ . The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is :

Question diagram: Four identical solid spheres each of mass m and radius a are

Options:

Answer:

C

Solution:

$I = 2 \times (\frac{2}{5} m a^{2}) + 2 \times (\frac{2}{5} m a^{2} + m b^{2})$

$I = \frac{8}{5} m a^{2} + 2 m b^{2}$

TestHub · Accepted Answer

I = 2 × 2 5 m a 2 + 2 × 2 5 m a 2 + m b 2 I = 8 5 m a 2 + 2 m b 2

Physics - Rotation Question with Solution | TestHub

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