Q: What increase the moment of inertia?

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the moment of inertia of a solid cylinder about an axis passing through its COM and parallel to its length is mr2/2 where r is the radius.

mass moment of inertia for a solid sphere: I = (2 /5) * mass * radius2 (mass in kg, radius in metres)

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It is the square root of ratio moment of inertia of the given axis to its mass.

By integration. This means the plane is divided into small pieces, and the contribution of each individual piece to the moment of inertia is evaluated. There are mathematical methods to do this more or less easily - systematically, at least - for certain simple figures, and you can find the moment of inertial of many common figures published in lists.

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Increase the moment of inertia

Because it is a measure of the "resistence" of an object to be accelerated in its rotation. An object with a big moment of inertia is more difficult to increase/decrease its angular velocity (speed of rotation), than an object with a low moment of inertia.

Since its length is doubled, the number of molecules present increase, resulting in an increase in mass of the rod. And we all know that mass is directly proportional to inertia, therefore the moment of inertia also increases.

The moment of inertia of the compact disk will increase by a factor of 4 (2 raised to the power of 2) when its diameter is doubled while maintaining the same thickness. This is because moment of inertia is proportional to the square of the radius.

Dimensional formula of moment of inertia = [ML2T0 ]

The second moment of a force is called as moment of inertia.

Moment of inertia has unit kg m2

define moment of inertiaÂ§ I is the moment of inertia of the mass about the center of rotation. The moment of inertia is the measure of resistance to torque applied on a spinning object (i.e. the higher the moment of inertia, the slower it will spin after being applied a given force).

The skater can decrease his moment of inertia by bringing his limbs closer to his body, which decreases the distribution of mass. To increase his angular velocity, the skater can generate more angular momentum by pushing off the ice with greater force, allowing for a faster spin.

The moment of inertia of an object depends on its mass distribution and shape. For simple shapes, such as a point mass or a solid cylinder, mathematical formulas can be used to calculate the moment of inertia. For complex shapes, numerical methods or integration techniques may be necessary to determine the moment of inertia.

Mass moment of inertia measures an object's resistance to rotational motion due to its mass distribution, while area moment of inertia measures an object's resistance to bending due to its shape and cross-sectional area. Mass moment of inertia depends on both the mass and its distribution, while area moment of inertia depends on the shape and how the material is distributed in the cross-section.

No, moment of inertia cannot be negative as it is a physical quantity that represents an object's resistance to changes in its rotation. Negative values for moment of inertia do not have physical meaning.