Consider a solid uniform sphere of radius R and mass M rolling without slipping.Which form of its kinetic energy is larger,translational or rotational?
A)Translational kinetic energy is larger.
B)Rotational kinetic energy is larger.
C)Both are equal.
D)You need to know the speed of the sphere to tell.

Question

Quizplus · Accepted Answer

For a solid sphere rolling without slipping, the translational kinetic energy (1/2)Mv^2 is larger than the rotational kinetic energy (1/2)Iω^2, where I = (2/5)MR^2 and ω = v/R. Substituting I and ω, the rotational kinetic energy becomes (1/5)Mv^2, which is less than the translational kinetic energy.

Consider a Solid Uniform Sphere of Radius R and Mass