GATE ME 1997
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## GATE ME

For the following set of simultaneous equations $$1.5x - 0.5y + z = 2$$$$$4x + 2y + 3z = 9$$$ $$7x + y + 5z = 10$$$View Question Area bounded by the curve $$y = {x^2}$$ and the lines $$x=4$$ and $$y=0$$ is given by View Question The order of error in the simpson's rule for numerical integration with a step size $$h$$ is View Question Solve the initial value problem $${{{d^2}y} \over {d{x^2}}} - 4{{dy} \over {dx}} + 3y = 0$$ with $$y=3$$ and $${{dy} \ View Question A mass of 35 kg is suspended from a weightless bar AB which is supported by a cable CB and a pin at A as shown in. The p View Question The dimension of surface tension is : View Question Refer to figure, the absolute pressure of gas$$A$$in the bulb is View Question In certain$$HE,$$both the fluids have identical mass flow rate-specific heat product. The hot fluid enters at$${76^ \ View Question In a certain double pipe heat exchanger hot water flows at a rate of $$50,000$$ $$kg/h$$ and gets cooled from $${95^ \ci View Question Setup costs do not include View Question A dummy activity is used in$$PERT$$network to describe View Question Determine the number of production runs and also the total incremental cost in a factory for the data given below: View Question A project plan is given below: (a) Construct a$$PERT$$network (b) Find the critical path and estimate the project du View Question The most commonly used criteria for measuring forecast error is View Question In a forecasting model, at the end of period$$13,$$the forecasted value for period$$14$$is$$75.$$Actual value in t View Question The cost of providing service in a queuing system increases with View Question People arrive at a hotel in a Poisson distributed arrival rate of$$8$$per hour. Service time distribution is closely a View Question A company rents three warehouses$$A, B$$and$$C$$from which they supply bearings to two customers$$P$$and$$Q.$$Th View Question A small element at the critical section of a component in bi-axial state of stress with the two principal stresses being View Question To make a worm drive reversible, it is necessary to increase View Question The dynamic load capacity of$$6306$$bearing is$$22KN.$$The maximum radial load it can sustain to operate at$$600$$View Question Match the following List -$${\rm I}$$(a)$$\,\,\,\,\,$$Automobile wheel mounting on axle (b)$$\,\,\,\,\,$$High speed View Question To restore stable operating condition in a hydrodynamic journal bearing, when it encounters higher magnitude loads. View Question A metal strip is to be rolled from an initial wrought thickness of$$3.5mm$$to a final rolled thickness of$$2.5$$View Question Welding of$$C40$$steel plate of$$10mm$$thickness required a current of$$16$$amps, while it was$$360$$amps when the View Question In a typical metal cutting operation, using a cutting tool of positive rake$$\gamma = 10\deg ,$$it was observed that View Question A cutting tool has a nose radius of$$1.8mm$$. The feed rate for a theoretical surface roughness of$${R_t} = 5$$micron View Question In a turning trail using orthogonal tool geometry, a chip length of$$84mm$$was obtained for an uncut chip length of$$ View Question A Throwaway carbide insert was used to machine a steel work pieces with a cutting speed of $$60$$ $$m/min,$$ tool life o View Question Helix angle of fast helix drill is normally View Question $$3$$ blocks of $${B_1},\,\,{B_2},\,\,{B_3}$$ are to be inserted in a channel of width $$'S'$$ maintaining a minimum gap View Question In a point to point control $$NC$$ machine, the slides are positioned by an integrally mounted stepper motor drive. If t View Question A mass of 35 kg is suspended from a weightless bar AC, which is supported by a cable CB and a pin at A as shown in Fig. View Question The suspension system of a two-wheeler can be equated to a single spring-mass system with a viscous damper connected in View Question Air enters a frictionless adiabatic converging nozzle at $$10$$ bar, $$500$$ $$K$$ with negligible velocity. The nozzle View Question For an ideal gas the expression $$\left[ {T{{\left( {{{\delta s} \over {\delta T}}} \right)}_p} - T{{\left( {{{\delta s} View Question A system undergoes a state change from$$1$$to$$2.$$According to the second law of thermodynamics, for the process to View Question At a place where the surroundings are at$$1$$bar$${27^ \circ }C,$$a closed rigid thermally insulated tank contains View Question Which among the following is the boiler mounting? View Question The following data pertain to a single stage impulse steam turbine: Nozzle angle$$={20^ \circ };$$Blade velocity View Question Consider an actual regenerative Rankine cycle with one open feed water heater. For each$$kg$$steam entering the turbin View Question Match the following View Question Kaplan turbine is View Question A water turbine delivering$$10MW$$power is to be tested with the help of a geometrically similar$$1:8$\$ model, w
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