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Q1: 7. Answer the following questions. [10 pt] а. A solid sphere of mass 2 kg and radius 30 cm rolls down an incline without slipping. If the incline is 5 m high, how fast is the ball going at the bottom? b. A 500 g hoop with diameter 1.2 m is rolled down the same hill. If it too rolls without slipping, how fast is the hoop going at the bottom of the hill? c.Show that if the moment of inertia is given by I = CMR² , where c is a factor dependent on the shape of the object, that the acceleration down the incline is given by a=\left(\frac{1}{1+c}\right) g \sin \theta d. List two additional shapes with similarly formatted moments of inertia that could be rolled down the same hill. Rank all four (your two shapes, the sphere, and the hoop) in order of smallest to largest acceleration.See Answer
Q2: 10.4 The yield stress of a sample of brass with a large grain size was 20 MN m. The yield stress of an otherwise identical sample with a grain size of 4 pm was 120 MN m^-2. Why did the yield stress increase in this way? What is the value of ß in Equation (10.5) for the brass?See Answer
Q3: Air is compressed by an adiabatic compressor from 27 °C and 95 kPa to 277 °C and 600 kPa.Determine the isentropic efficiency of the compressor and the exit temperature of air for the isentropic case. Assume constant air properties evaluated at room temperature.See Answer
Q4: d. The work required to initiate tensile failure in a cubic metre of annealed copper 8.2 Using the plot of nominal stress against nominal strain from Example 8.1, find: a. The tensile strength of copper b. The strain at which tensile failure commences C. The percentage reduction in cross-sectional area at this strainSee Answer
Q5: (1c). (3p) The saturated liquid line and the saturated vapor line intersect in a (A). Triple point. (B). Critical point. (C). Superheated point. (D). It depends in whether a P-v diagramor a T-v diagram is considered. (E). These two lines never intersect.See Answer
Q6: (la). (3p) Please circle the item(s) which can be considered as pure substance(s) in Thermodynamics: (A). Pure liquid water (B). Mixture of liquid water and ice (C). Air (Mixture of N2 and O2) at room temperature and atmosphere pressure (D). Mixture of water and large amount of soil (E). Mixture of water and minor amount of salt (C). Air (Mixture of N2 and O2) at room temperature and atmosphere pressure (D). Mixture of water and large amount of soil (E). Mixture of water and minor amount of saltSee Answer
Q7: (1f). (3p) The quality of superheated water vapor is (B) Greater than 1; (C) Can not be decided based on given information; (D) Does not exist;See Answer
Q8: (2a). (4p) Find the saturated pressure of R-134a at 44 °C. (2b). (4p) Find the saturated temperature of H2O at 812 kPa (2c). (6p) Find the specific internal energy of the superheated H2O vapor at 98 bar and 354 °C. (2d). (4p) H2O at 2.0 MPa and 420°C. (2e). (4p) H2O of specific internal energy 2.5 MJ / kg at 0.5 MPa. (2f). (6p) R-134a of specific volume 0.45 m³/ kg at 0.4 MPa.See Answer
Q9: Saturated steam is present in a closed tank at 10 bar pressure. a) What is the temperature of the steam? b) If this steam is completely condensed at the same conditions, what is the change of theinternal energy for this process? (10 pts) c) What is the work done by the system for this process? CSee Answer
Q10: 1. A bearing with a step slider as shown below uses dry air at 15 degrees Celsius as the lubricating fluid. It has dimensions h1= 1 mm, h2=D0.5 mm, 1=20 cm, 12=30 cm. What speed does the bearing need to move at to support 4 kilograms? See Answer
Q11: 3. A 5 micron diameter glass sphere is moving at a rate of 200 microns per second in the x-direction. How fast is the fluid moving at the same x-position, but 4 diameters away in the y-axis.See Answer
Q12: 4. A journal bearing supporting a shaft load of 121 kilograms has 100 microns of eccentricity. If the torque required to spin the shaft is 0.24 Newton-meter, how much torque does the sleeve experience? b. What is the radius of the journal bearing if the average gap height is 200 microns, the rotation rate is 50 rad/s, and viscosity of 0.1 Pa*s?See Answer
Q13: Calculate the declination angles on: 1. September 22 (Beginning of fall) (Points5) 2. December 22 (Beginning of winter)(Points 5)See Answer
Q14: a) In all tables in our textbook, the values for specific enthalpies energies are labeled as "given versus reference state". On the other hand, the values for the specific volumes are not given versus reference state. Explain (5 pts) b) Using super heated steam as an example show that the influence of the temperature to the internal energy is higher than the influence of the pressure. (10 pts)See Answer
Q15: (le). (3p) Please circle a valid statement(s) about super heated vapor with temperature T and pressure P: (А). Р> Р.sat@ T (В). Т >Т,sat@P (C). v> ve, (specific volume)8 @T (D). u <u,@r (specific internal energy) (E). h>h,er (specific enthalpy)8 @TSee Answer
Q16: (6). (18 points) Please find the specific volume of O2 at 200 K and 2.0 MPa by the two methods: (6a). (6p) Employ the ideal gas equation. (6b). (8p) Use the compressibility chart. The critical point for O2 is known: Ter =154.6K,Per5.05 MPa.See Answer
Q17: (3a). (3 p) Please identify all the phases (A-D) and states for points 1-5 on the T-v diagram. (3b). (3p) Find the quality and specific internal energy of a saturated mixture at atmospheric pressure, which consists of 3.0 lbm of a liquid water and 5.0 lbm of a water vapor. (3c). (3p) Find the mass of air in a spherical balloon with a radius of 5m, assuming it is an ideal gas at 1 atm and 26.75 °C. (3d). (3p) A tank with a volume of 0.3 m³ contains 20 kg of H2O at 350 kPa. Please determine the phase (or phases), temperature, and the total internal energy water in this this system.See Answer
Q18: 2. An olive oil bubble is rising in a cup of water at 25 degrees celsius. If the bubble is 10 microns in diameter and rising at a speed of 1.5 mm/s, a. What is the drag on the bubble? b. What is the gravity on the planet you are on? C.If there are two bubbles 3 diameters apart, what is the new terminal speed? d. What is the Reynolds number? Do creeping flow equations apply?See Answer
Q19: 14-91. When the 5-kg box reaches point A it has a speedVA = 10 m/s. Determine how high the box reaches up the surface before it comes to a stop. Also, what is the resultant normal force on the surface at this point and the acceleration? Neglect friction and the size of the box. See Answer
Q20: 14-39.If the 75-kg crate starts from rest at A, determine its speed when it reaches point B. The cable is subjected to a constant force of F = 300 N. Neglect friction and the size of the pulley.See Answer

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