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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: 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
Q3: 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
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: 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
Q9: 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
Q10: 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
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: Calculate the declination angles on: 1. September 22 (Beginning of fall) (Points5) 2. December 22 (Beginning of winter)(Points 5)See Answer
Q13: (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
Q14: 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
Q15: 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
Q16: 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
Q17: 5. Water flows steadily through the large tanks "A" and "B" shown in the figure. Determine the water depth,ha, to be maintained in tank A to keep the liquid heights the same in both the tanks. (Hint: Watch "class lecture") See Answer
Q18: Find the area of the triangle below. Be sure to include the correct unit in your answer.See Answer
Q19: 2. Determine the velocity of point D and C for the 4-bar linkage in Figure 2, shown below. See Answer
Q20: Find the perimeter of the figure below. Notice that one side length is not given. Assume that all intersecting sides meet at right angles.Be sure to include the correct unit in your answer.See Answer

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