For this programming assignment, you will implement a priority queue. your priority queue can grow dynamically as in the stack assignment (although you should use a method with amortized cost o(1) for insertion) or you may make a priority queue large enough to fit all of your data ahead of time. you will build three different implementations of the priority queue. two of these implementations will be based on a list. the first list implementation, unsorted, should use an unsorted list to store the data. the second list implementation, sorted pq, should use a sorted list. the third implementation, heappq, should be an array-based implementation of a heap.

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?