On a straight track.

Let say external friction force Ffr, no rolling resistance, initial velocity V0 moment of inertia I,

Let's make a kinematic equation

follow to

and

finally

A solid disk's moment of inertia

A ring's moment of inertia

for thin ring R1 ~ R2

Time for solid disk is

Time for thin ring is

I't means, force is same but time frame is different. Correct?

If no, please provide a correct a kinematic equation and time frame formula.