Question

Find the moment of inertia ix of particle a with respect to the x axis (that is, if the x axis is the axis of rotation), the moment of inertia iy of particle a with respect to the y axis, and the moment of inertia iz of particle a with respect to the z axis (the axis that passes through the origin perpendicular to both the x and y axes).

Answer 1

Answer:

As per perpendicular axis theorem the inertia of the particle about x axis is given as

$I_x = I_y + I_z$

Explanation:

As per perpendicular axis theorem we know that the moment of inertia about two perpendicular axis lying in the plane is given to us then in that case the moment of inertia about third axis which is perpendicular to the given two axis and passing through the intersection of the two axis then the inertia is given as

$I = I_1 + I_2$

here we know that

$I_1 = I_y$

$I_2 = I_z$

so we have

$I_x = I_y + I_z$

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Topic : perpendicular axis theorem

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