A crane l m tall is loading a container full of delicate glass gurines weighing ll] metric tons onto a cargo ship. 1|Ii'lp'rhile the container is in the air. there is an emergency shutdown ofthe crane and the case is left hanging for a short time. During this time. winds cause the arm of the crane to vibrate vertically at a frequency of 3.63 Hz with an amplitude of 5 mm. The supporting cable has an effective stiffness of k = 4L Mme. where L is the length ofexposed cable in metres {neglect changes in L due to vibration]. I v =1 slrwrl 'IEHII m a] Determine the cable length L at which the transmissibility would be exactly I. b] Assuming steady state vibration. determine the height h at which the crate would hit the ground (neglect the size of the crate and assume this corresponds to the length of the cable}. Note: this corresponds to a different value of L than part a}. c] After the emergency is dealt with1 operations resume as the wind continues to cause the crane arm to vibrate. The crane needs to lift shipments T m high to place it onto the cargo ships. What is the largest mass of cargo that can be lifted in these conditions without shaking with an amplitude greater than 25!] mm'iI Assume w 2:? p