GATE ME 2003
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## GATE ME

The solution of the differential equation $${{dy} \over {dx}} + {y^2} = 0$$ is
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A truss consists of horizontal members (AC, CD, DB and EF) and vertical members (CE and DE) having length 1 each. The me
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A bullet of mass ‘m’ travels at a very high velocity v (as shown in the figure) and gets embedded inside the block of ma
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A reel of mass $$'‘m'’$$ and radius of gyration $$'‘'k’$$ is rolling down smoothly from rest with one end of the thread
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A reel of mass $$'‘m'’$$ and radius of gyration $$'‘'k’$$ is rolling down smoothly from rest with one end of the thread
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A cylindrical body of cross - sectional area A, height $$H$$ and density $${\rho _s},$$ is immersed to a depth $$h$$ in
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A water container is kept on a weighing balance. Water from a tap is falling vertically into the container with a volume
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Air flows through a venture and into atmosphere. Air density is $$\rho$$; atmospheric pressure is $$'\,{P_a}';$$ throat
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A syringe with a frictionless plunger contains water and has at its end a $$100$$ $$mm$$ long needle of $$1$$ $$mm$$ dia
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A syringe with a frictionless plunger contains water and has at its end a $$100$$ $$mm$$ long needle of $$1$$ $$mm$$ dia
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Heat is being transferred by convection from water at $${48^ \circ }C$$ to a glass plate whose surface that is exposed t
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Heat is being transferred by convection from water at $${48^ \circ }C$$ to a glass plate whose surface that is exposed t
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Consider a laminar boundary layer over a heated flat plate. The free stream velocity is $${U_\infty }.$$ At some distanc
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A plate having $$10\,\,c{m^2}$$ area each side is hanging in the middle of a room of $$100\,\,{m^2}$$ total surface area
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In a counter flow heat exchanger, for the hot fluid the heat capacity $$= 2kJ/kg$$ $$K,$$ mass flow rate $$= 5 kg/s,$$ i
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Market demand for springs is $$8,00,000$$ per annum. A company purchases these springs in lots and sells them. The cost
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A project consists of activities $$A$$ to $$M$$ shown in the net in the following figure with the duration of the activi
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The sale of cycles in a shop in four consecutive months are given as $$70, 68, 82 95.$$ Exponentially smoothing average
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A manufacturer produces two types of products, $$1$$ and $$2,$$ at production levels of $${x_1}$$ and $${x_2}$$ respect
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In terms of theoretical stress concentration factor $$\left( {{k_t}} \right)$$ and fatigue stress concentration factor
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The $$S$$-$$N$$ curve for steel becomes asymptotic nearly at
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In a band brake the ratio of tight side band tension to the tension on the slack side is $$3.$$ If the angle of overlap
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Hardness of green sand mould increase with
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With a solidification factor of $$0.97 \times {10^6}s/{m^2},$$ the solidification time (in seconds) for a spherical cast
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Cold working of steel is defined as working
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A brass billet is to be excluded from its initial diameter of $$100mm$$ to a final diameter of $$50mm$$. The working tem
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In Oxyacetylene gas welding, temperature at the inner cone of the flame is around
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Match the following
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The arc - voltage characteristics of a $$DC$$ power source has a linear power source characteristic of $$V=20+40L,$$ wh
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Formation on build-up edge during machining can be avoided by using
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A batch of $$10$$ cutting tools could produce $$500$$ components while working at $$50$$ $$rpm$$ with a tool feed of $$0 View Question A cylinder is turned on a lathe with orthogonal machining principle. Spindle rotates at$$200rpm$$. The axial feed rate View Question A cylinder is turned on a lathe with orthogonal machining principle. Spindle rotates at$$200rpm$$. The axial feed rate View Question A good cutting fluid should have View Question Quality screw threads are produced by View Question A shell of$$100mm$$diameter and$$100mm$$height with the corner radius of$$0.4mm$$is to be produced View Question A metal disc of$$20mm$$diameter is to be punched from a sheet of$$2mm$$thickness. The punch and the die cl View Question The dimensional limits on a shaft of$$25h7$$are View Question A part shown in the gig is machined to the sizes given below With$$100\% $$confidence, the resultant dimension$$W\$
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A threaded nut of $$M16,$$ $$ISO$$ metric type having $$2$$ $$mm$$ pitch with a pitch diameter of $$14.701$$ $$mm$$ is
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Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One
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A $$200 \times 100 \times 50$$ mm steel block is subjected to a hydrostatic pressure of $$15$$ MPa. The Young's modulus
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A shaft subjected to torsion experiences a pure shear stress $$\tau$$ on the surface. The maximum principal stress on t
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The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 M
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The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 M
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The second moment of a circular area about the diameter is given by (D is the diameter)
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The beams, one having square cross section and another circular cross-section,are subjected to the same amount of bendin
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Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240 MPa. If the shaft diam
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A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measur
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The mechanism used in a shaping machine is
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The lengths of the links of a 4-bar linkage with revolute pairs only are $$p,q,r$$ and $$s$$ units. Given that $$p &lt; View Question The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the poi View Question The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the poi View Question The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of View Question The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of View Question For a certain engine having an average speed of$$1200$$rpm, a flywheel approximated as a solid disc, is required for k View Question A flexible rotor-shaft system comprises of a$$10kg$$rotor disc placed in the middle of a mass-less shaft of diameter  View Question A uniform rigid slender bar of mass$$10kg.$$is hinged at the left end is suspended with the help of spring and d View Question A uniform rigid slender bar of mass$$10kg.$$is hinged at the left end is suspended with the help of spring and d View Question A$$2kW,40$$liter water heater is switched on for$$20$$minutes. The heat capacity$${C_p}$$for water is$$
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An industrial heat pump operates between the temperatures of $${27^ \circ }C$$ and $$- {13^ \circ }C.$$ The rates of he
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Considering the relationship $$TdS=dU+PdV$$ between the entropy $$(S),$$ internal energy $$(U),$$ pressure $$(P),$$tempe
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Nitrogen gas (molecular weight $$28$$) is enclosed in a cylinder by a piston, at the initial condition of $$2$$ bar, $$2 View Question Nitrogen gas (molecular weight$$28$$) is enclosed in a cylinder by a piston, at the initial condition of$$2$$bar,$$2
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Considering the variation of static pressure and absolute velocity in an impulse stream turbine, across one row of movin
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In a Rankine cycle, regeneration results in higher efficiency because
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Match the following
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