GATE ME 2009
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## GATE ME

For a matrix $$\left[ M \right] = \left[ {\matrix{ {{3 \over 5}} &amp; {{4 \over 5}} \cr x &amp; {{3 \over 5}} View Question The area enclosed between the curves$${y^2} = 4x\,\,$$and$${{x^2} = 4y}$$is View Question The distance between the origin and the point nearest to it on the surface$$\,\,{z^2} = 1 + xy\,\,$$is View Question The divergence of the vector field$$\,3xz\widehat i + 2xy\widehat j - y{z^2}\widehat k$$at a point$$(1,1,1)$$is equa View Question If three coins are tossed simultaneously, the probability of getting at least one head is View Question The standard deviation of a uniformly distributed random variable$$b/w0$$and$$1$$is View Question The solution of$$x{{dy} \over {dx}} + y = {x^4}$$with condition$$y\left( 1 \right) = {6 \over 5}$$View Question The inverse Laplace transform of$${1 \over {\left( {{s^2} + s} \right)}}$$is View Question An analytic function of a complex variable$$z = x + i\,y$$is expressed as$$f\left( z \right) = u\left( {x,y} \right)
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A block weighing 981 $$N$$ is resting on a horizontal surface. The coefficient of friction between the block and the hor
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A uniform rigid rod of mass $$M$$ and length $$L$$ is hinged at one end as shown in theadjacent figure. A force P is app
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You are asked to evaluate assorted fluid flows for their suitability in a given laboratory application. The following th
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Consider steady, incompressible and irrotational flow through a reducer in a horizontal pipe where the diameter is reduc
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The velocity profile of a fully developed laminar flow in a straight circular pipe, as shown in the figure, is given by
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Water at $${25^0}C$$ is flowing through a $$1.0km$$ long $$G.I.$$ pipe of $$200mm$$ diameter at the rate of $$0.07$$ $${ View Question Consider steady-state heat conduction across the thickness in a plane composite wall as shown in fig exposed to convecti View Question A coolant fluid at$${30^ \circ }C$$flows over a heated flat plate maintained at a constant temperature of$${100^ \cir
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Radiative heat transfer is intended between the inner surfaces of two very largen isothermal parallel metal plates. Whil
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Radiative heat transfer is intended between the inner surfaces of two very largen isothermal parallel metal plates. Whil
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In a parallel flow heat exchanger operating under steady state, the heat capacity rates (product of specific heat at con
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A company uses $$2555$$ units of an item annually. Delivery lead time is $$8$$ days. The recorder point (in number of un
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The expected time $$\left( {{t_e}} \right)$$ of a $$PERT$$ activity in terms of optimistic time $$\left( {{t_0}} \right) View Question Consider the following network The optimistic time, most likely time and pessimistic time of all the activities are giv View Question Consider the following network The optimistic time, most likely time and pessimistic time of all the activities are giv View Question Which of the following forecasting methods takes a fraction of forecast error into account for the next period forecast? View Question Consider the following Linear Programming problem$$(LLP)$$Maximize:$$Z = 3{x_1} + 2{x_2}\,\,$$Subject$$\,\,$$View Question Six jobs arrived in a sequence as given below: Average flow time (in days) for the above jobs using Shortest Processi View Question A forged steel link with uniform diameter of$$30mm$$at the centre is subjected to an axial force that varies from$$40
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A $${20^ \circ }$$ full depth involute spur pinion of $$4mm$$ module and $$21$$ teeth is to transmit $$15kW$$ at $$960rp View Question A$${20^ \circ }$$full depth involute spur pinion of$$4mm$$module and$$21$$teeth is to transmit$$15kW$$at$$960rp
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Two streams of liquid metal, which are not hot enough to fuse properly, result into a casting defect known as
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Match the following
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The minimum shear strain in orthogonal turning with a cutting tool of zero rake angle is
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Friction at the tool - chip interface can be reduced by
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In a machining experiment, tool life was found to vary with the cutting speed in the following manner The exponent $$( View Question In a machining experiment, tool life was found to vary with the cutting speed in the following manner What is percenta View Question What are the upper and lower limits of the shaft represented by$$60{f_8}$$? Use the following data: Diameter$$60$$lie View Question Match the following View Question If the principal stresses in a plane stress problem are$${\sigma _1}= 100$$MPa,$${\sigma _2}= 40$$MPa, th View Question A solid circular shaft of diameter$$d$$is subjected to a combined bending moment,$$M$$and torque,$$T.$$The materia View Question A solid shaft of diameter,$$d$$and length,$$L$$is fixed at both the ends. A torque,$${T_0}$$is applied at a distan View Question A triangular-shaped cantilever beam of uniform- thickness is shown in the figure. The young's modulus of the material of View Question A frame of two arms of equal length$$L$$is shown in the adjacent figure. The flexural rigidity of each arm of the fram View Question A triangular-shaped cantilever beam of uniform- thickness is shown in the figure. The young's modulus of the material of View Question A simple quick return mechanism is shown in the figure. The forward to return ratio of the quick return mechanism is 2 : View Question Match the approaches given below to perform stated kinematics/dynamics analysis of machine Analysis$$P.$$Continuous re View Question An epicyclic gear train is shown schematically in the adjacent figure The sun gear 2 on the input shaft is a 20 teeth ex View Question The rotor shaft of a large electric motor supported between short bearings at both the ends shows a deflection of$$1.8\$
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An automotive engine weighing $$240$$ kg is supported on four springs with linear characteristics. Each of the front two
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A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is $$3.6$$ kN/m and the damp
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A compressor undergoes a reversible, steady flow process. The gas at inlet and outlet of the compressor is designated as
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A frictionless piston-cylinder device contains a gas initially at $$0.8MPa$$ and $$0.015$$ $${m^3}.$$ It expands quasi-s
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If a closed system is undergoing an irreversible process, the entropy of the system
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The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the figure. The notation
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The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the figure. The notation
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