weve been up all night till four or five sunrise but we dont wanna sleep yet know we found magic but we only keep it if we keep it a secret if i bite my tongue can you read my mind do you know that i dont wanna leave yet? but we cant let them see it... time keeps slippin slippin ill keep givin givin my whole heart to you everybody wants somebody want your body on my body we shouldnt be together so im scared youll leave me all alone your my romeo so hold me close well take it slow nobody ever has to know...

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?