contestada

a few objects with the same mass and radius are rotating around axes through their centers. which of these objects would be the easiest to stop from rotating?

Respuesta :

The hollow sphere would be the easiest to stop from rotating. The body's moment of inertia and angular velocity combine to form the angular momentum: L=I ω

I = (2/5)MR2 (solid) and I = (2/3)MR2 (hollow) are the moments of inertia for spheres of any diameter that are solid and hollow, respectively (hollow)

A HOLLOW sphere has a higher angular momentum than a solid sphere with the same mass and rotational velocity because (2/3)>(2/5).

If they were the same size and made of the same material, the solid sphere would, intuitively, have a higher angular momentum (and therefore different mass). To illustrate this, consider a hollow sphere with a wall thickness of R. Its volume is thus Vol=4R2R.

Since M=V and is the density, I(hollow)=(8/3)R4R is the moment of inertia.

I(solid) = ρ(8π/15)R^5

hence, I (solid)/I (hollow)

=(1/5)R/∆R

To know more about inertia, visit:

https://brainly.com/question/3268780

#SPJ4