Consider four identical circular Euler columns under a compressive axial load with a) one end fixed and the other pinned (or hinged or simply-supported), b) both ends fixed, c) both ends pinned (or hinged or simply-supported), d) one end fixed and the other free. What are the buckling loads Pcr for each one and which one is the strongest against buckling? Given are: the length L of the column and bending rigidity EI, ?

Under normal driving conditions, car tires can generate a fiction coefficient of approximately 0.7. Antilock braking systems can increase the effective coefficient of friction to as high as 1.0. For car traveling 65 miles an hour, determine the stopping distance for coefficients of friction of 0.7 and 1.0. How much more time do antilock brakes give the driver to respond. Also, why have antilock brakes not produced reductions in crash rates that were anticipated from this calculation?

1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m K, has inner diameter and thickness of 0.4 and 0.05 m, respectively and length of 1 m. Find the outer diameter of the cylinder (in meter)

2. Calculate the thermal energy generation, if the volumetric heat generation inside the cylinder equal to 2.1 x 10^5 W/m^3

3. If the outer diameter of cylinder is changed to 0.46 m and the cylinder is cooled by water at the temperature of 22°C, the heat transfer coefficient of fluid is 1100 W/m^2 K, and the volumetric heat generation inside the cylinder equal to 1 x 10^5 W/m^3 , calculate the steady state outer surface temperature (in °C)

4. By using the outer diameter of problem no 3, calculate the convective heat transfer (qconv) if the fluid and outer surface temperature at 25°C and 40°C, respectively, and the heat transfer coefficient of fluid change to 700 W/m^2

5. By using the outer diameter of problem no 3, the fluid and outer surface temperature at 25°C and 45°C, respectively, and heat transfer coefficient of fluid 1400 W/m^2 K. Calculate the inner surface temperature (in °C)

6. By using the outer diameter of problem no 3, and outer surface temperature of problem no 5, calculate the conductive heat transfer (qcond), if the inner surface temperature is 155°C (answer in unit kilo Watt)

A 3 kg collar slides with frictionless along a vertical rod is shown in below Figure. The
spring is under-formed when the collar A is at the same elevation as point O. The collar is
released from rest at y1 = 0.4 m.
Determine the velocities of the collar as it first passes a) y2 = 0.0 m, and b) y3 = − 0.4m

Write the heat conduction equation (without flow in and out) in cartesian coordinates for the following case:
1. Steady-state, 1-D, without heat generation (2 points)
2.Transient, 1-D, without heat generation (2 points)
3.Transient, 3-D, with heat generation (3 points)
3. Write the three types of boundary conditions. (3 points)

state the reason why the flexibility influence coefficient of a non constrained multi-degree vibration is can not be determined

Foil Plates

Place foil plates on the Van de Graaf generator face down. When the generator is on, what happens to the plates? Repeat the experiment with the plates facing up. Do plates behave any different? If so, why? If not, why not? Explain your reasoning.

Please draw picture

Question 4

A bolt weighting 10 N is accidently dropped down a 4 m long vertical cast-iron pipe which is closed by means of a rigid flange at the end. Calculate:

4.1       The instantaneous stress induced in the material of the pipe if the inside diameter of the pipe is 200 mm and the pipe wall thickness is 10 mm.                        

4.2       The instantaneous elongation of the pipe.                                                     

4.3       The gradually applied load that would produce the same stress as in 4.1.   

            E = 140 GPa

Create a program using Matlab that can solve Three Dimensional Space; Vectors, Partial Derivatives or any of the topic in calculus 3; show 5 examples please thankyou!! just use matlab for the solution like the codes thankyou

A steady two-dimensional laminar fully-developed flow downward between

two fixed parallel plates inclined at 50" with horizontal is shown in figure. The

pressure gradient in the direction of the flow is -3935 N/m' per m. Note the

space between parallel plates is 5mm.Use the Navier-Stokes equation in the

flow direction to determine:

a-Velocity distribution of the flow between two plates.

b-Shear stress distribution of the low between two plates.

c- The average velocity of the flow

d- Maxinmum velocity

e-Mininmum shear stress.

f-The shear stress on the two plate

g-What will be the slope of the plate required to produce zero shear stress at the lower plate

Viscosity=0.02

Density=900

The following problem description applies also to the next two problems.

A piston-cylinder device contains 2 kg of a saturated liquid mixture at an initial state 1 with p₁= 100 kPa and x₁= 0.8. The water is heated at constant pressure until its final state 2 with volume V₂ = 1.947V₁.

Its initial volume, in m³/kg, is closer to:

A) 3.836

B) 1.294

C) 2.990

D) 2.345

E) 2.156

F) 2.711

G) 4.625

H)1.736

B) Its final temperature, in ^oC, is closer to:

C) The amount of heat supplied to the steam during the expansion process, in kJ, is closer to:

an insulating wall 16cm thick has one face at 600 degree celsius while the other is at 100 degree celcius. The thermal conductivity of the material is given by K =0.078(1+17.95*10 exponent - 4) W/mK ant T is in degree celcius temperatures is 60 degree celcius determine the heat flow for a length of 5m. also find the mid layer temperature

1. Calculate relative frequencies for; Overall Type of Calls, Call Quality and Call Errors.
2. Calculate the following probabilities:
   • CLM Error and AM Shift
   • COV Error and PM Shift
   • SAV Error or AM Shift
   • Given that the call comes in the morning, what is the probability of a CLM Error
3. NARRATIVE: Based upon the probabilities in step 2, which error(s) should the company focus on for improvement? Should they direct their attention to a particular shift?
4. If a sample size of 15 is used and we assume calls are either correct we can model the call quality using a binomial distribution. Based upon the probability of an error (provided in the Quality Summary under Call Quality), predict the probability of:
   • Exactly 0 errors occurring in 15 calls
   • Less than 2 errors occurring in 15 calls
   • 5 or more errors occurring in 15 calls
5. Provide Descriptive Statistics for Call Time to include; Mean, Standard Deviation and the 5-number summary.
6. Using the Call Time Mean and Standard Deviation from the Quality Sample, find the probability of a call time less than 7 minutes, between 7 and 9 minutes, and greater than 9 minutes.
7. NARRATIVE: From past research the company knows that customers expect to have their calls handled without error and within approximately 7.5 minutes on the phone. Use the information from steps 4-6 to evaluate how well the company is meeting these expectations.