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A spool is on a horizontal surface (with friction) and pulled to the right with a thread attached to the center of the spool, so that the spool rolls without slipping. the spool has a mass of m, moment of inertia i, and a radius of r

Answer :

The relationship between the magnitude of the force of tension and the force of friction is; Ff = (r/R)Ft

What is Rotational Acceleration?

We are given;

mass of spool = M

Radius = R

moment of inertia = I.

Now, the spool is not moving and as such;

r < R which means there is net torque = 0

Thus;

Ff × R = Ft × r

>> Ff = (r/R)Ft

Finally, the angular acceleration is expressed as;

α = a/R

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