![]() ![]() Inertia is proportional to the mass of an object, whereas the moment of inertia is influenced by the shape of the object and the mass. In other words, a rotating object will continue to rotate if no external force is applied. And the moment of inertia is a physical quantity that indicates the degree to which rotational motion is maintained in rotational motion. If ‘inertia’ is a property of maintaining motion in a linear motion. For example, a sphere of the same shape will have the same acceleration, even if the spheres are different sizes. Thus, if an object rolls down in any way, it will go slower than if it simply slipped without friction.Īnother interesting fact is that if an object’s shape is the same, the acceleration is the same regardless of its size. Substituting the moment of inertia \(I\) of a rolling object in the above equation, we can find the rolling object’s rolling acceleration. Total energy = translational kinetic energy rotational kinetic energy In contrast, an object that slides without rotation can convert given potential energy into 100% kinetic energy.Īssuming there is no sliding friction, an object’s total energy is divided into energy for movement and rotational energy. In both the cases the reason why hollow parts have more moment of inertia is that they have all the mass situated on the outer boundary. ![]() ![]() In conclusion, the rolling object wasted some energy to rotate. Why does a rolling object go down slower than an object that slides down? and final example, we will calculate the moment of inertia of a sphere. This simulation assumes that there is rolling friction and no sliding friction. whereas the third moment of inertia can be neglected in comparison with the. ![]()
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