Problem 17.73

Cable is unwound from a spool supported on small rollers at A and B by exerting a force T = 300 N on the cable. The spool and cable have a total mass of 780 kg and a radius of gyration of kO = 1.2 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. (Figure 1)  

 

 

 

Part A

Compute the time needed to unravel 5 m of cable from the spool.

Express your answer to three significant figures and include the appropriate units.

t =

7.65 s