The flow of oil (k=0.145 w/m. k, µ= 0.605 kg/m. s = 0.605 n. s/m2 ) in a journal bearing can be treated as parallel flow between two large isothermal plates with one plate moving and the other stationary. consider two such plates are separated by 0.7 mm thick oil film. the upper plate moves at a constant velocity 8 m/s, while the lower plate is stationary. the temperatures of the upper and lower plates are 40°c and 15°c, respectively. a. obtain relations for the velocity and temperature distributions in the oil. b. determine the maximum temperature and where it occurs, and c. the heat flux from the oil to each plate.

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?