The blimp is moored to the ground winch in a gentle wind with 100 m of 12-mm cable which h...

The blimp is moored to the ground winch in a gentle wind with 100 m of 12-mm cable which has a mass of 0.51 kg/m. A torque of 400 N · m on the drum is required to start winding in the cable. At this condition, the cable makes an angle of 30° with the vertical as it approaches the winch. Calculate the height H of the blimp. The diameter of the drum is 0.5 m.