Chapter 5, Problem 5.40CU

answer

Consider the mechanical system in Figure 1. Assume the system is in equilibrium. Let the states be defined as: 1(t) = Fk, (t) - The force on spring k1. 12(t) = ÿ1 (t) - The velocity of M1. • z3(t) = Fi(t) - The force on spring k2. • za(t) = ý2(t): The velocity of M2. M1 M2 Figure 1: Mechanical system The forces fi and f2 are the inputs to the system and the velocities ý, and y2, the outputs. Determine the following state space model for the system in terms of the masses, damping coefficients, spring constants and forces shown in Figure 1: x(t) = Ax(t) + Bu(t) %3D y(t) = Cx(t) + Du(t) %3D

Please solve this question in thermodynamics

A rigid, well-insulated tank contains air. A partition in the tank separates 12 ft^3 of air at 14.7 lbf/in2, 40◦F (left side of the tank) from 10 ft^3 of air at 50 lbf/in2, 200◦F(right side of the tank), as illustrated in the figure. The partition is removed and air from the two sides mix until a final equilibrium state is attained. The air can be modeled as an ideal gas, and kinetic and potential energy effects can be neglected. (Note: values for the left side of the tank are denoted with a subscript L, and values for the right side of the tank are denoted with a subscript R). a) Determine the final temperature (in F) b) Determine the final pressure (in lbf/in^2) c) Calculate the amount of entropy produced, in Btu/R d) Is this mixing process reversible or irreversible?

1 and 2 please

A 300-lb iron casting, initially at 600°F, is quenched in a tank filled with 2121 lb of oil, initially at 80°F. The iron casting and oil can be modeled as incompressible with specific heats 0.10 Btu/lb. °R, and 0.45 Btu/lb. °R, respectively. (a) For the iron casting and oil as the system,determine the final equilibrium temperature, in °F. Ignore heat transfer between the system and its surroundings. T₁ = i (b) For the iron casting and oil as the system,determine the amount of entropy produced within the tank, in Btu/°R. Ignore heat transfer between the system and its surroundings. J = °F Mi Btu/ºR

1. Which of the following seven variables are extensive? Which ones are intensive variables? M, V, T, P, N, p, and V 2. ( closed ) According to state principle, which of the following properties is fixed for liquid water in a system at 25°C and 1 atm (i.e., single-phase and single component)? Select all correct answers. A. The water's molar volume B. The water's specific volume C. The water's total volume D. The water's density According to state principle, which of the following properties is fixed for 100 g liquid water in a closed system at 25°C and 1 atm (i.e., single-phase and single component)? Select all correct answers. L ft A. The water's molar volume B. The water's specific volume C. The water's total volume D. The water's density 3. ( ) Water flows into the top of an open barrel at a constant mass flow rate of 30 lb/s. Water exits through a pipe near the base with a mass flow rate proportional to the height of water inside: M₁ =9L, where L is the instantaneous water height,…

1. The 1st Law of Thermodynamics gives any information on the feasibility of the change of stateor process. The Second Law of Thermodynamics provides the basis as to the probability ofdifferent processes.A. Both statements are correct.B. Both statements are incorrect.C. Statement 1 is correct while Statement 2 is incorrect.D. Statement 1 is incorrect while Statement 2 is correct   2. The ratio of Cp/R is dependent on the unit of the universal gas constant. Its parameters areindependent of temperature and depends on the value of the constant pressure.A. Both statements are correct.B. Both statements are incorrect.C. Statement 1 is correct while Statement 2 is incorrect.D. Statement 1 is incorrect while Statement 2 is correct.   3.  A reconstruction has resisted the combined efforts of the government’s militaryestablishments. It can at best be accomplished by a hen fed with the remains of the original. Thisanalogy best represents the concept of ___________.A. Spontaneous ProcessB.…

A 30-lb iron casting, initially at 1500°F, is quenched in a tank filled with 2121 lb of oil, initially at 80°F. The iron casting and oil can be modeled as incompressible with specific heats 0.10 Btu/lb. °R, and 0.45 Btu/lb. °R, respectively. (a) For the iron casting and oil as the system,determine the final equilibrium temperature, in °F. Ignore heat transfer between the system and its surroundings. T+= 257.4978 (b) For the iron casting and oil as the system,determine the amount of entropy produced within the tank, in Btu/°R. Ignore heat transfer between the system and its surroundings. 0 = °F i Btu/°R