contestada

6. The image to the right shows a moment of inertia
demonstrator device. This device can spin its four arms
around its center. On each arm is a weight that can be
adjusted closer or farther from the center of rotation.
A student says, “Moving the weights away from the center
of mass does not change the moment of inertia, since the
total diameter of the device does not change." Do you
agree with this statement? Explain.

Respuesta :

The moment of inertia is the rotational analog of mass, and it is given by

the  product of mass and the square of the distance from the axis.

  • The moment of inertia changes as the position of the weight is changed, which indicates that; statement is incorrect

Reasons:

The weight on each arm that have adjustable positions can be considered as point masses.

The moment of inertia of a point mass is I = m·r²

Where;

m = The mass of the weight

r = The distance (position) from the center to which the weight is adjusted

Therefore;

The moment of inertia, I ∝ r²

Which gives;

Doubling the distance from the center of rotation, increases the moment of inertia by factor of 4.

Therefore, the statement contradicts the relationship between the radius of rotation and moment of inertia.

Learn more about moment of inertia here:

https://brainly.com/question/4454769

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