(a) Determine the north latitude of the Arctic Circle and then Approximate the number of hours of daylight at the Arctic Circle for the following dates: (b) Summer Solstice,
(c) Vernal Equinox (i. s. March 21st), and
(d) May 3rd. (Write your answer in the form of hours and minutes)
(e) The number of hours on the Winter Solstice may be found by computing the number of hours of daylight on the Summer Solstice and subtracting this result from 24 hours, due to the symmetry of the orbital path of Earth around the Sun. Compute the number of hours of daylight for the Arctic Circle on the Winter Solstice. What do you conclude about daylight for a location on the Arctic Circle

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?