(a) A heavy carriage wheel of weight W, and radius r is to be dragged over an obstacle of height h by a horizontal force P applied to the centre of the wheel. Show that P is sligh…
UPSC Mechanical Engineering 2023
All 16 questions from the 2023 Civil Services Mains Mechanical Engineering paper across 2 papers — 800 marks in total. Each question comes with a detailed evaluation rubric, directive word analysis, and model answer points.
(a) In Figure 2(a), AB is a rigid bar, CE is a steel rod of 20 mm diameter and DF is a copper rod of 20 mm diameter. If the end A is hinged and a load of 30 kN acts at the free en…
(a) The coefficient of friction for all contacting surfaces in Figure 3(a) is 0·2. Does the 25 kg force move the block A up, hold it in equilibrium, or is it too small to prevent…
(a) Two involute gears in mesh have pressure angle of 20° and module of 6 mm. The number of teeth on pinion is 28 and the larger gear has 52 teeth. Calculate the following : (20 m…
(a) In an electrochemical machining process of an iron surface using sodium chloride solution as electrolyte, following observations were made: Specific resistance of the electrol…
(a) Following data were observed while machining two different work materials X and Y using a centre lathe machine: If work material X is standard material, then determine the rel…
(a) (i) A tube is to be drawn as per the dimensions given in the following Figure 7(a)(i) showing die, plug and tube. Assuming the metal in work hardened condition with yield stre…
(a) The following data represents the results of inspecting 50 units/day of personal computers produced by two processes A and B of a company for the past ten days. | Sample No. |…
(a) A 50 kg block of iron at 500 K is placed into open atmosphere which is at a temperature of 285 K. The iron block eventually reaches thermal equilibrium with the atmosphere. As…
(a) A 15 m high cylinder with a cross-sectional area of 0.6 m² contains 3 m³ of liquid water at 25 °C on the top of a thin insulated piston of mass 20 kg. Below the piston, argon…
(a) Heat is generated in a stainless steel plate (thermal conductivity = 22 W/m-K) of thickness 1 cm, at a uniform rate of 600 MW/m³. The left side of the plate is maintained at 2…
(a) Considering an ideal, isentropic gas flow through a nozzle, show that choking will occur at Mach number (M) = 1. (20 marks) (b) Water at 30 °C enters a 1·5 cm diameter horizon…
(a) Show in the form of a table, how the increase in the following variables affects (increase or decrease) the ignition delay period of a compression ignition (CI) engine: (i) Se…
(a) The power output of a six-cylinder, four-stroke CI engine is absorbed by a hydraulic dynamometer for which the law is P = WN/20000, where P is the power in kW, W is the brake…
(a) A convergent-divergent nozzle receives steam at 5 bar, 250 °C and expands it isentropically into a space at 1 bar. Neglecting the inlet velocity, calculate the exit area requi…
(a) An SI engine working on the Otto cycle has cylinder bore of 210 mm and stroke length of 240 mm. The clearance volume is 1550 cc. The pressure and temperature at the beginning…
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