Evaluate (Ïa) given a constant force of interest 8 = 0.08.
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- A mass of 1.75 kg is attached to the end of a spring whose restoring force is 100 N/m. The mass is in a medium that exerts a viscous resistance of 15 N when the mass has a velocity of 6 msms. The viscous resistance is proportional to the speed of the object.Suppose the spring is stretched 0.03 mm beyond the its natural position and released. Let positive displacements indicate a stretched spring, and suppose that external vibrations act on the mass with a force of 3sin(2t) NN at time tt seconds.Find an function to express the steady-state component of the object's displacement from the spring's natural position, in mm after tt seconds. (Note: This spring-mass system is not "hanging", so there is no gravitational force included in the model.) Enter exact value for the constants, or 8 decimal places. u(t) =Suppose a rock falls from rest from a height of 100 meters and the only force acting on it is gravity. After three seconds, how fast (in m/s) is the rock falling? Do not include units in your final answer.Hooke's Law states that the length a spring stretches is directly proportional to the weight on the spring. If a weight of 5 kg stretches a spring 12 cm, determine the weight that would stretch the spring 27 cm.
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