Question #10c64
1 Answer
Consider the following image of the scenario
We know from second law of motion the acceleration of the COM is given by-
Where
Calculating moments about COM, we get
Where r is the distance from the center where the friction is acting, I is moment of inertia and
Here, we use the fact that the object is rolling without slipping, therefore:
Substituting this in the equation above we get
Substituting
Dividing numerator and denominator by
Hence proved.