Help For the system show, the input is the applied force fa(t), and the output i

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For the system show, the input is the applied force fa(t), and the output is the tensile force in the spring K2. The lever is ideal and is horizontal when the system is in static equilibrium with fa(t) = 0 and mass M supported by the spring K1. The displacements x1, x2, x3, and theta are measured with respect to the equilibrium position. The lever angle theta remains small. Select a suitable set of state variables and write the corresponding state-variable model (i,e., x1, v2, and Find the output equation y for the reaction force of the pivot on the lever. A block diagram which describes the behavior of the system shown. Use MATLAB's Simulink to produce the complete response x(t) of the system. You make take liberty with the values of the system to complete this part of the problem.

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A 600 gallon tank contains 300 gallons of water mixed with 10 lbs of salt. Water containing 1/4 (lb/gallon) is flowing into the tank at a rate of 10 gallons/minute. At the same time the mixture is being drained from the tank at a rate of 5 gallons/minute.   a. How much salt will be in the tank after 30 minutes? b. How much salt is in the tank at the time the tank begins to overflow?

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