The \(\operatorname{drum} A\) is given a constant angular acceleration \(\alpha_{0}\) of \(3 \mathrm{rad} / \mathrm{s}^{2}\) and causes the 70-kg spool \(B\) to roll on the horizontal surface by means of the connecting cable, which wraps around the inner hub of the spool. The radius of gyration \(\bar{k}\) of the spool about its mass center \(G\) is \(250 \mathrm{~mm}\), and the coefficients of friction between the spool and the horizontal surface are \(\mu_{s}=0.25\) and \(\mu_{k}=0.20\). Determine the tension \(T\) in the cable and the friction force \(F\) exerted by the horizontal surface on the spool.

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250 mm B 450 mm G 150 mm A