Question

Consider a hoop of radius R and mass M rolling without slipping. Which form of its kinetic energy is larger, translational or rotational?

A. Its translational kinetic energy is larger than its rotational kinetic energy.

B. Its rotational kinetic energy is larger than its translational kinetic energy.

C. Both will have the same value

D. You need to know the R of the hoop

E. You need to know the M of the hoop

anillo "hoop"

Answer 1

here,

when the hoop is rolling without slipping

the moment of inertia of hoop , I = M * R^2

the rotational kinetic energy , KEr = 0.5 * I * w^2

KEr = 0.5 * (M * R^2) * ( v/r)^2

KEr = 0.5 * M * v^2

the translational kinetic energy , KEt = 0.5 * M * v^2

so, C) Both will have same value

Answer 2

Both are same