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The coefficient of static friction between a certain hoop and a horizontal floor is 0.40. If...

The coefficient of static friction between a certain hoop and a horizontal floor is 0.40. If the rotational inertia of the hoop about its symmetry axis is given by I = MR2, then the magnitude of the maximum acceleration in m/s2 the hoop can have without sliding is:
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Answer #1

We find the maximum acceleration a of the hoop using below formula

The relation between angular acceleration and linear acceleration is

And

Where frictional force

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