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## Homework Statement

Suppose a uniform sphere of mass M and radius R is placed on a rough horizontal surface. It rolls without slipping.

We can apply 2 equations.

1) considering the torque due to frictional force about the centre of mass,

fR=I(alpha)

here alpha=a/R as the it is in pure rolling motion

so f=2Ma/5

2)considering the linear motion,

Ma=f

why are 1 and 2 contradicting.?