Conservation of Energy with Rotation Video Lessons

Concept

# Problem: A solid cylinder with moment of inertia I = 1/2 MR2, a hollow cylinder with moment of inertia I = MR2 and a solid sphere with moment of inertia I = 2/5 MR2 all have a uniform density, the same mass and the same radius. They are placed at the top of an inclined plane and allowed to roll down the inclined plane without slipping. Rank them in order of total kinetic energy at the bottom of the incline, from higher to lower.[a] sphere(1st), hollow cylinder(2nd), solid cylinder(3rd)[b] sphere(1st), solid cylinder(2nd), hollow cylinder(3rd)[c] hollow cylinder(1st), sphere(2nd), solid cylinder(3rd)[d] hollow cylinder(1st), solid cylinder(2nd), sphere(3rd)[e] they all have the same kinetic energy

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###### Problem Details

A solid cylinder with moment of inertia I = 1/2 MR2, a hollow cylinder with moment of inertia I = MR2 and a solid sphere with moment of inertia I = 2/5 MR2 all have a uniform density, the same mass and the same radius. They are placed at the top of an inclined plane and allowed to roll down the inclined plane without slipping. Rank them in order of total kinetic energy at the bottom of the incline, from higher to lower.

[a] sphere(1st), hollow cylinder(2nd), solid cylinder(3rd)

[b] sphere(1st), solid cylinder(2nd), hollow cylinder(3rd)

[c] hollow cylinder(1st), sphere(2nd), solid cylinder(3rd)

[d] hollow cylinder(1st), solid cylinder(2nd), sphere(3rd)

[e] they all have the same kinetic energy