A torsion test is performed on an aluminum probe, with the following results given in the following table:

The probe dimensions are as follows:

Length(L)

Diameter(D)

Through your graph of behavior of shear to torsion against angular deformation determine the following:

• Limit proportional to the cut

• Shear creep (0.2% deformation)

• Maximum resistance shear
• rigidity modulus (G)

• Cut Resilience Module

 Failure type (malleable, ductile, tenacious or brittle)

1. A business absorbs overheads on a machine hour basis, which were budgeted at 12,250 machine hours with overheads of £147,000. Actual results were 9,870 hours with actual overheads of £154,645. Calculate the over or under recovery.

1. Over recovery of £36,205
2. Over recovery of £7,645
3. Under recovery of £7,645
4. Under recovery of £36,205

2. A highly automated process is used to make tins of paint. It has a budgeted overhead of £40,000, taking 1,250 machine hours and 500 direct labour hours. Each can of paint uses £12 of direct materials, 0.1 labour hours at £4 per hour and 0.2 machine hours. The most appropriate calculation of the total cost of each tin of paint would be:

1. £15.60
2. £28.40
3. £18.80
4. £20.40

a) Explain the difference between systematic risk and unsystematic risk.

b) What are some examples of each?

c) Assume you are considering an investment in a new medical company that has developed a tiny robot that enters the body and (hopefully) destroys cancer tumors. If it works in clinical trials, the company will have cured cancer (and be very valuable); if it fails in clinical trials, the robot will be killing patients (and the company will be worthless). Under the CAPM approach, should this company have a high beta or a low beta, and explain why should that be the case?

d) If you wanted to use the company to diversify your existing holdings and reduce your risk, would you rather its correlation coefficient to the rest of your investments be -0.2 or 0.6? Explain.

A 30 m long pipe with an outside diameter of 75 mm is used to deliver steam at a rate of 2000 kg / hour. The vapor pressure is 198.53 kPa entering the pipe with a quality of 98%. The pipe needs to be given insulation with thermal conductivity of 0.2 W / (m K) so that the vapor quality only slightly decreases to 95%. The outer surface temperature of the insulation is assumed to be 25 ° C. Ignore the resistance conductive from the pipe material and considered no pressure drop in the pipe. a. Determine the enthalpy of incoming steam = kJ / kg.
b. Determine the enthalpy of steam coming out = kJ / kg.
c. Determine the change / heat loss of steam along the flow = watt.
d. Determine the minimum insulation thickness required = cm.

Applegate Inc. has developed a new shampoo with a distinctive fragrance. Before distributing it nationally, Applegate will test market the new product. The joint probability of a successful test market and high sales upon national distribution is 0.5. The joint probability of a successful test market and low sales nationally is 0.1. The joint probabilities of an unsuccessful test market and either high or low sales are both 0.2.

Construct a joint probability table and then answer the following questions.

As a part of the stimulus package ($93 billion) was paid out in the form of tax credits . Use the parameters given in the table below and the equation of IS Curve to answer the following questions:

Autonomous Consumption (C) = $1.3 trillion mpc = 0.6

Autonomous Investment (I) = $1.2 trillion c = 0.1

Government Spending (G) = $3.0 trillion d = 0.2

Tax Revenue (T) = $3.0 trillion x = 0.1

Net Exports (NX) =1.3 trillion financial frictions (f) = 1

a) Calculate the goods market equilibrium output ( Hint: Use equation for IS Curve)

b) Calculate the good market equilibrium if there is tax cut of $93 billion. Interpret your result and provide economic intuition to support your result.

You have the following buffer recipe and decide to make up some concentrated solutions first so that you won't have to weigh out dry ingredients, wait for them to dissolve, and correct the pH every time you make it. How much dry ingredients do you use for each of the following 4 stock solutions? Show you work and include units in your calculations. The Buffer Recipe is: 150 mM NaCl (formula weight 58.44 g) 10 mM Tris pH 8.0 (formula weight 121 g) 2 mM EDTA (formula weight 292 g) 0.2% bovine serum albumin Stock 1 of 4: 3 M NaCl, 100 mL ________ ?

In an imaginary pathway the intermediate E is a substrate of both enzyme 1 and enzyme 2, creating products F and G respectively. Intermediate E is present at 1.2 mM and the Km values for this substrate for enzymes 1 and 2 are 0.2 mM and 3 mM respectively.

Question: What would the effect of an increase in the concentration of E have on the relative populations of the products F and G?

1. Only the population of G would increase as enzyme 1 is already working a maximum.
2. Both F and G would increase to equal amounts of each product.
3. Both F and G would increase but the amount of F would be greater than G
4. You cannot predict the relative populations of F and G from the information given.

1. A coupon of very pure Gold and highly clean surface is exposed to an Argon Fluoride (ArF) excimer laser beam of wavelength 193.4±0.2 nm inside an ESCA (Electron Spectroscopy for Chemical Analysis) ultrahigh vacuum spectrometer. The coupon surface faces the entrance aperture of a hemispherical electrostatic energy analyzer and detector. The coupon and the analyzer entrance aperture are electrically connected together at ground potential (zero Volts). A fraction of the photo-emitted electrons enters the analyzer and their energy distribution is measured. a) (2 points) What is the energy of a photon in the ArF laser beam expressed in electron-Volts (eV)? b) (2 points) The highest energy of the detected electrons was 1.3±0.1 eV. What was the Work Function of this Gold surface in eV?