$1773.$ Cable is unwound from a spool supported on small rollers at

$$

and

$$

by exerting a force

$$

$=$

$300$

$$N

on the cable. Determine 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 radius of gyration of

$$

$$

$=$

$1\mathrm{.}2$

$$m

$.$

For the calculation, neglect the mass of the cable being unwound and the mass of the rollers at

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and

$$

$.$ The rollers turn with no friction.