(Solved): 7. Cable is unwound from a spool supported on small rollers at \( A \) and \( B \) by exerting a for ...

7. Cable is unwound from a spool supported on small rollers at \( A \) and \( B \) by exerting a force of \( T=300 \mathrm{~N} \) on the cable in the direction shown. Compute the time needed to unravel 5 m of cable from the spool if the spool and cable have a total mass of 600 kg and a centroidal radius of gyration of \( \mathrm{k}_{\mathrm{o}}=1.2 \mathrm{~m} \). For the calculation, neglect the mass of the cable being unwound and the mass of the rollers at \( A \) and \( B \). The rollers turn with no friction.