(1) In the system shown in Figure below, r(t) is the input displacement and e(t) is the output angular displacement. Assume that the masses involved are negligibly small and that all motions are restricted to be small; therefore, the system can be considered linear. The initial conditions for x and 0 are zeros, or x(0-) = 0 and 9(0-) = 0. Show that this system is a differentiating element. Then obtain the response (t) when r(t) is a unit-step input. No friction

Calculate the rate of flow of waste thermal energy out of the engine in the exhaust gases in kW (to 1 decimal point). If the air inlet temperature is 35 °C, the air to fuel ratio is 10:1, the inlet air mass flow rate is 37 kg/hr, the specific heat capacity of exhaust gas is 1.13 kJ/kg/K, and the exhaust temperature is 500 °C. Add your answer Integer, decimal or E notation allowed

Tire manufacturers recommend that you check your tire pressure monthly to avoid unnecessary tire wear and enhance safety. This is best done when the tires are cold meaning; the car has not been driven for at least 2 hours. Since you leave for work before the sun comes up you decide to inflate your tires to the recommended pressure right after you get home from work in the afternoon when the tires are still warm. What would you find if you rechecked your tire pressure after the tires have cooled down? A.Tire pressure has decreased because there is a decrease in kinetic energy of themolecules resulting in more collisions with the inside walls of the tire thusincreasing the pressure inside the tire. B.Tire pressure has increased because there is a decrease in kinetic energy of the molecules resulting in fewer collisions with the inside walls of the tire thus decreasing the pressure inside the tire. C.Tire pressure has increased because there is an increase in kinetic energy of the…

Question 23 Given an initial velocity of o ft/s, what is the velocity at 5 seconds? -2 Time (s) -1 ft/s 1 ft/s -11 ft/s 11 ft/s Not enough information Acceleration (ft/s²)

Please solve the problem correctly and get the right answer.