Alift up system is used to transport objects among different floors. the two bearings on both ends of the shaft have the same dimension (l = 1 inch and diameter d = 2 inch), and they are made of steel-backed, ptfe coated bronze. the load bearing statistics are as follows: pmax = 36,000 psi; vmax = 390 ft/min; (pv)max = 51,000 lb-ft/in2-min. a cable is located at the midpoint of the shaft that is used to lift the chamber. the radius of the drum on the shaft is 6 inches. if the speed of the lifting chamber is 18 in/s, find the maximum load this lifting system can support.

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg. m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?