14. write a method called hasmidpoint that accepts three integers as parameters and returns true if one of the integers is the midpoint between the other two integers; that is, if one integer is exactly halfway between them. your method should return false if no such midpoint relationship exists. for example, the call hasmidpoint(7, 4, 10) should return true because 7 is halfway between 4 and 10. by contrast, the call hasmidpoint(9, 15, 8) should return false because no integer is halfway between the other two. the integers could be passed in any order; the midpoint could be the 1st, 2nd, or 3rd. you must check all cases. if your method is passed three of the same value, return true

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?