Solve the following differential equation using laplace transform methods. You can use a computer to find the constants for partial decomposition

Q: de the inner tube with steam condensing at 110°C on the outside. The tube wall is so thin that the…

A: The optimal diameter of the tube is-

Q: Consider two iron spheres, each of diameter 105 mm, which are just touching. At what distance r from…

A:

Q: Show that in a field of attractive forces F(r) a body of mass m can always perform circular motion…

A: To show that a body of mass 'm' can perform circular motion under an attractive force, we first need…

Q: A small, high pressure water jet can be used for cutting various materials. A jet with a speed of…

A: For the solution refer below images.

Q: 15- For a pipe carrying chilled water at 10°C through a room at 21°C. What is the maximum relative…

A: Here we will use ste table to get the pressure at both temperature to use them to get maximum…

Q: What should be the frequency (f) of S. H. M. with time of oscillation 100 sec and amplitude of 0.4…

A: Frequency of S.H.M. (simple harmonic motion) is the number of oscillations that a particle performs…

Q: Im is A motor with rotor inertia of 0.03 kgm and maximum torque of connected to a uniformly…

A: Given : The rotor inertia is The torque is The moment of inertia of gear A and B is The gear ratio…

Q: An air-standard Diesel cycle has a compression ratio of 16 and a cutoff ratio of 2. At the beginning…

A:

Q: What is the rate of heat transfer when q= 90, t1 = 20, t2= 40

A:

Q: The 10 kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel is…

A:

Q: Learning Goal: Use the general equations of motion for plane motion to determine the initial…

A:

Q: For the beam loading shown below, with L= 3ft and w= 100 kip/ft, complete the internal shear forces…

A:

Q: An engineer is testing a new electric vehicle and needs to determine the displacement of the vehicle…

A: Given data:Time Interval: 0 to 60 seconds.Time Increments: 0.1 seconds.Velocity Function: v(t) =…

Q: Obtain the internal model (state variables) of the hydraulic system in which you want to know the…

A: where h1 i.e height of water in tank 1  and h2 i.e height of water in tank 2 are  the state…

Q: Locate and draw the INSTANT CENTERS ( Known and unknown )

A: Locate and draw the INSTANT CENTERS ( Known and unknown )

Q: Piosqu wab lico, 182 los na not 18- A stream of outdoor air at 35°C dbt and 28°C wbt is mixed with…

A:

Q: A solar collector consists of a long duct through which air is blown; its cross section forms an…

A: Geometry:Length of duct (L) = 1 mSide length of equilateral triangle cross-section (a) = 1 mSurface…

Q: The general linkage configuration and terminology for an offset fourbar slider- crank linkage are…

A:

Q: The model of a river is constructed to a scale of 1/60. If the water in the river flows at 38 ft/s,…

A: The model of a river is constructed to a scale of 1/60.If the water in the river flows at 38…

Q: Determine the maximum deflection of a simply supported beam carrying a hydraulic cylinder in a…

A: Force (F) = 45 kN = 45000 NBeam length (L) = 1.5 mBeam height (h) = 150 mm = 0.15 mBeam thickness…

Q: An insulated tank is fitted with a freely-floating piston made of a non-conducting material as shown…

A: The ideal gas equation can be used to determine the temperature of the gas in the pipeline. The…

Q: A refrigeration system with R134a as the working fluid is used to maintain a space at 25°C by…

A:

Q: All problems require correctly drawn and labeled free body diagrams for each component that you…

A:

Q: The data listed below is from a passenger hot air balloon. The balloon is designed to lift 10-people…

A: 10 people with 80kg per person = 800kgTotal mass without people = Balloon + Basket + Burner +…

Q: I think The sum of moments in A=0, so Moment in A=0, I assume the max slope is when x=L, so: y'=…

A: In previous question loading conditions are given as,fixed cantilever beam (Fixed at A and free at…

Q: The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200…

A:

Q: the photo, the man has a mass of 60 kg and the crate has a mass of 100 kg. The coefficient of static…

A: For the solution refer below images.

Q: Outside air at a temperature of 25°C is drawn into the duct and then heated along the duct at 198…

A: Given Data:Outside air temperature = At section 1:Heat transfer rate = To Find:(b) Temperature at…

Q: A refrigeration system with R134a as the working fluid is used to maintain a space at 25°C by…

A:

Q: [Crystallographic Plane and Planar Density] Your new project is to develop the iron catalyst for…

A: The sketches of the (100) and (110) planes in a Body-Centered Cubic (BCC) structure are shown…

Q: 9.17 For the die casting shown in Figure P9-17, determine the maximum stresses and their locations.…

A: To determine the maximum stresses and their locations.The given variables:

Q: Air at a temperature of 20°C and standard atmospheric pressure of 102 kPa flows through the nozzle…

A: To find:The mass flow in the pipe

Q: For the truss in figure below, the cross-sectional area of the truss members is A = 500 mm² and…

A: For the truss in figure below, the cross-sectional area of the truss members isA = 500 mm²…

Q: A round slug 10 mm in diameter and made of a metal with average flow stress 300 MPa is reduced to a…

A:

Q: The motor, M, pulls on the cable with a force F= (101² + 300)N, where is in seconds. If the 100 kg…

A: Given:the mass of the crate is..The pulling force is..The time is..FBD:The free-body diagram of the…

Q: Consider the beam shown below. The stiffness of the material is 29 x 106 psi. The 2nd moment of…

A: Here the step-by-step procedure is given to solve this kind of problem(a) Label the nodes and…

Q: 2) Orthogonal Cutting: Consider a person who is shoveling snow from the sidewalk. This person can…

A: To find: The ratio of the force for shovel A to the force for shovel B.Given:Coefficient of friction…

Q: [Thermal Stress] An aluminum alloy rod is restricted as shown. At the initial temperature (Ti ), an…

A: Given data:for aluminum alloy E =therefore:

Q: A gas-turbine power plant operates on the simple Brayton cycle with air as the working fluid and…

A:

Q: For the truss in figure below, the cross-sectional area of the truss members is A = 500 mm² and…

A: For the truss in figure below, the cross-sectional area of the truss members isA = 500 mm²…

Q: A 9 cm diameter solid aluminum post is subjected to a horizontal force of V= 8.1 kN and a…

A: Given, A 9 cm diameter solid aluminum post is subjected to a horizontal force of V= 8.1 kN and a…

Q: For questions 1-5, complete the table for water (H₂O) below. Then select the appropriate phase…

A: 1.Given:  P = 200 kpa, x = 0.7since 0 < x < 1, so it is in mixture phaseFrom steam tableAt P =…

Q: A gas-turbine power plant operates on the simple Brayton cycle with air as the working fluid and…

A:

Q: A plate in the shape of an isosceles right triangle with side length 4 meters is submerged in water…

A:

Q: For the truss in figure below, the cross-sectional area of the truss members is A = 500 mm² and…

A: For the truss in figure below, the cross-sectional area of the truss members is A = 500 mm²…

Q: h) Strain energy for truss CE. Enter your answer in J to 2 decimal places.

A:

Q: The following data relate to a performance test of a single acting reciprocating air compressor.…

A: Given:Find:

Q: The figure shows a linkage in one position. What is the instantaneous acceleration of point P if the…

A:

Q: 2. A wrought steel C1020, annealed, pulley, attached to a 2-in. shaft, is transmitting 40 hp at 200…

A: Given:To find:

Q: Tool Life: A HSS tool has been used for a metal cutting operation shows a Taylor relationship of…

A: time taken in old tool, told = 15 mintime taken in new tool, tnew = 5 min

Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.