Chapter 5, Problem 5.98EP

Just do Questions 7, 9, 11. Here are notes attached for reference. I prefer handwritten solutions. ONLY UPLOAD A SOLUTION IF YOU ARE SURE ABOUT THE ANSWER PLEASE.

Example Consider the simplified model of an automobile shown in Figure, let the parameter have the values m = 1500 kg, Ic = 2000 kg m2, k₁ = 36000 kg/m, k₁ = 40000 kg/m, a = 1.3 m and b = 1.7 m, calculate the natural modes of the system and write the expression for the response. ט 0 Solution T Equilibrium position 6(1)

6.3 Contamination of vegetable oil Vegetable oil is used in a food processing factory to prepare instant breadcrumbs. A stirred tank is used to hold the oil. During operation of the breadcrumb process, oil is pumped from the tank at a rate of 4.8 1 h-¹. At 8 PM during the night shift, the tank is mistakenly connected to a drum of cod liver oil, which is then pumped into the tank. The volume of vegetable oil in the tank at 8 PM is 60 1. (a) If the flow rate of cod liver oil into the tank is 7.5 1h-1 and the tank has a maximum capacity of 100 1, will the tank overflow before the factory manager arrives at 9 AM? Assume that the density of both oils is the same. (b) If cod liver oil is pumped into the tank at a rate of 4.8 1 h 1 instead of 7.5 1 h−1, what is the composition of oil in the tank at midnight?