slender rod has a mass of 10 kg and the sphere has a mass of 15 kg. p.564, 10-103. Determine the mass moment of inertia of the over hung crank about the x’ axis ... Moment of inertia ( I ) is defined as The sum of the products of the mass of each particle of the body and square of its perpendicular distance from the axis. The moment of inertia reflects the mass distribution of a body or a system of rotating particles, with respect to an axis of rotation.
For the four solid objects considered in the simulation the moment of inertia can be written as I =βMR2 where β is constant with a different value for each one of the objects. A hollow sphere will have a much higher moment of inertia I. Since it's rolling down an incline, we can apply conservation of mechanical energy to the sphere, where KE = PE. Now, since it has a moment of inertia, not all of the PE will be converted directly into translational kinetic energy - some of it is converted into rotational kinetic energy.
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