A pile has a diameter of 0.4 m and a length of 7 m. A field load test on this pile indicates an ultimate load capacity Q of 300 kN with 70% of the 300 kN load being carried by end-bearing and 30% of the 300 kN load being carried by skin friction. At the time of construction, 0.5 m diameter piles were used instead of 0.4 m diameter piles. Calculate the ultimate load capacity Q and the allowable load capacity Q for the 0.5 m diameter pile using a factor of safety of 2.5.

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?