Q2. A shaft carries four masses A, B, C and D of different magnitude and revolving at radii as mentioned below in planes measured from A at 300 mm, 400 mm and 700 mm. The angles between the cranks measured anticlockwise are A to B 450B to C 700 and C to D 1200 . The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 100 mm, between X and Y is 400 mm. If the balancing masses revolve at a radius of 250 mm, find their magnitudes and angular positions graphically.

i. The magnitude of mass X and Y

ii. The angular position of mass X and Y.

iii. Draw Space diagram.

iv. Couple Polygon

v. Force Polygon

vi. Tabular Column

Given :

Your newly purchased house where you are aiming for an indoor temperature of 18.0°C is well insulated apart from a 5.0 cm thick 12m² wooden wall facing the garage. Typically, the garage maintains a temperature of at least 9.0°C even in winter. What power do you lose because of the wall? One winter evening, the garage door gets stuck in the upright position and you want to know what the indoor temperature will be when the coldest night is -15.0 ° C in the garage. You can heat the room with a 400 W power element.

Describe how to cut a thread on a lathe, using freehand sketch. What is the relative motion between the tool and the work part.

The ethanol-water mixture is separated on a distillation column. Feed contains 20% ethanol
and 1000 kmol / hour speed is entering the system. The feed temperature is 30ºC and its enthalpy is 15kcal / kg.
Saturated feed steam enthalpy 485 kcal / kg and saturated feed liquid enthalpy
70kcal / kg. Distillate has at least 80% ethanol and 2% ethanol concentration of the sub-product
is required to be. The feedback / distillate ratio is 5/3. System pressure is 1 atm.
There is a co-molar flow acceptance in the enrichment zone. Theoretical number of stages and feeding
Find the stage (counting from above) into the system.

How does turbulent intensity change according to 4 stroke engine’s cycle? What are some bulk motion you can do to increase the turbulent intensity?

2. Based on initial guesses, a mesh for a CFD simulation is set up for an external ow around an object. The
ow does not experience signicant separation on the body surface. The results yield y+ values between 4
and 40 on the the body surface. Explain why this result is not adequate. Explain how you would proceed to
improve the results, and how you would know when they are acceptable.

Describe in simple terms how an XRD instrument can be used to perform a residual stress analysis of a strained steel sample. What needs to be measured, and how are the measurements performed

A batch production operation has a machine setup time of 4.0 hr and a processing time of 1.50 min per cycle. Three parts are produced each cycle. No tool handling time is included in the cycle. Part handling time each cycle is 30 sec. It consists of the worker obtaining three starting work units from a parts tray, loading them into the machine, and then after processing, unloading the completed units and placing them into the same tray. Each tray holds 27 work units. When all of the starting work units have been replaced with completed units, the tray of completed parts is moved aside and a new tray of starting parts is moved into position at the machine. This irregular work element takes 4.0 min. Batch quantity is 2,700 units.

Determine

(a) average cycle time,

(b) time to complete the batch,

(c) average production rate.

An intermediate pressure steam turbine is to be designed with 7 repeating stages as described above. The inlet conditions are: total temperature = 550°, total pressure = 4.0 MN/m2. The exit total pressure is 0.5 MN/m2. The rotational speed of the turbine is to be 1500 rev/min and the power output required is 90 MW. It is estimated that the turbine efficiency will be 90%. Calculate the mass flow through the turbine, the axial velocity, mean blade speed and the mean diameter of the turbine.

Scenario 2: Hunter Molding Machine (Machine Guarding)

While operating a Hunter molding machine, it is necessary for a single operator to reach inside the machine to adjust the pattern or blow it off to ensure that it is free of particles or other debris that will create deformed parts. This function is conducted once every 75 minutes, 8.5 hours per day. The molding pattern is placed on the holder by the machine, which then automatically rotates the pattern 180 degrees before the molding sand is compressed on the pattern, and then this process is repeated to ensure a two-sided mold is created. When the molds are compressed and then separated, the operator must reach inside the machine to clean the pattern by blowing compressed air onto the mold. The foundry supervisor is concerned that there is a potential for the operator to be caught in the rotating pattern holder, causing an amputation. He has asked for your help to provide a control measure to prevent any possible injuries to the operators. Note: A physical barrier between the operator and the pattern holder is not possible or feasible due to production activities. Please see the photographs below as a reference.

A flat plate solar collector with no cover plate has a selective absorber surface of emissivity 0.1 and solar absorptivity 0.95. At a given time of day the absorber surface temperature ?? is 120℃ when the solar radiation is 750 W/m^2, the effective sky temperature is -10℃, and the ambient temperature ?∞ is 30℃. Assuming that the heat transfer convection coefficient for the calm day conditions, estimated h= 0.22 (?? −?∞) 1 3 W/m^2 K.

(a) Calculate the useful heat removal rate (W/m^2 K) from the collector for these conditions.

(b) What is the corresponding efficiency of the collector?

Two kilograms of air is stored in a rigid volume of 2 m3 with the temperature initially at 300°C. Heat is transferred from the air until the pressure reaches 120 kPa. Calculate the entropy change of (a) the air and (b) the universe if the surroundings are at 27°C.

Find the general solution for the following ODEs. If initial condition is given, solve the initial value problem.

3) (D^4 − 13D^2 + 36I)y = 12e^x

4) (D^3 − D^2 − D + I)y = 0, y(0) = 0, Dy(0) = 1, D^2y(0) = 0

Q.3) Suppose (y, z) plane forms the boundary between a nonconducting linear
medium (1) and a conducting medium (2). A monochromatic plane wave traveling
in the x direction and polarized in the y direction approaches the interface from the
left direction.
i) Draw the diagram for this case by indicating the directions for incident, reflected
and transmitted electric and magnetic fields along with the propagation direction.
ii) Calculate the reflection coefficient R and transmission coefficient T and
show that R+T=1?

A straight cylindrical pipe (içi boş boru) lying along the x axis has a length of L and inner diameter of R1 and outer diameter R2. It is made of a material with a resistivity of ρ. Assume that a potential of Vo is applied at x = L, and the potential V = 0 at x = 0. Find (a) the electric field E in the wire as a vector, show the current direction. (b) find the current density J in the wire c) Calculate the magnetic field everywhere. Show and explain every step by using Ampere’s Law. d) Calculate the amplitude of Poynting vector in the wire.