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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: A homogeneous slender bar AB of mass m and length L is released from rest in the position shown in figure below. Assuming that the horizontal plane is friction less. Determine the 1. acceleration of end A 2. the reaction at A 3. the angular acceleration of the bar immediately after the release. 4. Which of the following statements about the problem is true? - The bar rotates about point A The bar's center of gravity goes straight downwards • The end B does not have any acceleration See Answer
Q3: A counter flow double-pipe heat exchanger with A, = 9.0 m2 is used for cooling a liquid stream(Cp = 3.15 kJ/kgK) at a rate of 10.0 kg/s with an inlet temperature of 90°C. The coolant (cp =4.2 kJ/kgK) enters the heat exchanger at a rate of 8.0 kg/s with an inlet temperature of 10°C.The plant data gave the following equation for the overall heat transfer coefficient in W/m²K:U = 600/ (1/m0.8 +2/m.8),where me and m, are the cold-and-hot-stream flow rates in kg/s, respectively. (a) Calculate the rate of heat transfer and the outlet stream temperatures of for this unit. (b) The existing unit is to be replaced. A vendor is offering a very attractive discount on two5 m2.identical heat exchangers that are presently stocked in its warehouse, each with As = 5 m²Because the tube diameters in the existing and new units are the same, the above heat transfer coefficient equation is expected to be valid for the new units as well. The vendor is proposing that the two new units could be operated in parallel, such that each unit would process exactly one-half the flow rate of each of the hot and cold streams in a counter-flow manner; hence,they together would meet (or exceed) the present plant heat duty. Give your recommendation,with supporting calculations, on this replacement proposal.See Answer
Q4: 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
Q5: 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
Q6: 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
Q7: (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
Q8: . What does an MMC, LMC, and RFS stand for? What are the symbols? Provide an example of each by creating a quick and simple feature. [10 pts.]See Answer
Q9: (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
Q10: (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
Q11: (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
Q12: 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
Q13: 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
Q14: 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
Q15: 14-14. Block A has a weight of 60 lb and block B has a weight of 10 lb, Determine the speed of block A after it moves 5 ft down the plane, starting from rest. Neglect friction and the mass of the cord and pulleys. See Answer
Q16: 14-94. A quarter-circular tube AB of mean radius rc ontains a smooth chain that has a mass per unit length of mg. If the chain is released from rest from the position shown, determine its speed when it emerges completely from the tube. See Answer
Q17: 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
Q18: Calculate the declination angles on: 1. September 22 (Beginning of fall) (Points5) 2. December 22 (Beginning of winter)(Points 5)See Answer
Q19: (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
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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