Question

Consider a sphere of uniformly distributed mass of 1 kg/m" and radius 1 m. its moment of intertia about one diameter is :

Answer 1

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Answer 2

Answer: The moment of inertia about one diameter is $0.4 kgm^2$.

Explanation:

Given that,

Mass = 1 kg

Radius r = 1 m

We know that,

The moment of inertia of the object is the product of the mass and radius of the object.

The moment of inertia of sphere is

$I = \dfrac{2}{5}MR^2$

$I = \dfrac{2}{5}\times1\times1\times1$

$I = \dfrac{2}{5}$

$I = 0.4\ kgm^2$

Hence, The moment of inertia about one diameter is $0.4 kgm^2$.