Question

Determine the rotational inertia of the construction about an axis perpendicular to the picture and passing through point B.

Answer 1

The rotational inertia of an object depends on its shape and mass distribution. More information about the construction and its dimensions is needed to calculate the rotational inertia about the desired axis.

Step-by-step explanation:

The rotational inertia of an object, also known as its moment of inertia, depends on its shape and mass distribution. To determine the rotational inertia of the construction about an axis perpendicular to the picture and passing through point B, we need more information about the construction and its dimensions. The moment of inertia can be calculated using various formulas depending on the shape of the object.

Answer 2

m* 8.0 kg*m²

Step-by-step explanation:

Rotational inertia of a set of discrete masses (considered point masses), regarding an axis passing through a given point, is just the sum of the products of each mass times the distance to the point of interest.

In the attached picture, neglecting the masses of the rods joining the masses, and taking into account that all masses are equal each other, being equal to m kg, we can write the following equation:

I = m₁*r₁² + m₂*r₂² + m₃*r₃² + m₄*r₄²,

⇒ I = m kg*0 +m kg*2 m² +m kg*2m² + mkg*4m²

⇒ I = m*8 kg*m²