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## GATE ME 2004

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE ME

For what value of $$x$$ will the matrix given below become singular? $$\left[ {\... The sum of the eigen values of the matrix$$\left[ {\matrix{ 1 &amp; 1 &amp; ...
The volume of an object expressed in spherical co-ordinates is given by <br>$$V... If$$\,\,\,x = a\left( {\theta + Sin\theta } \right)$$and$$y = a\left( {1 - C...
From a pack of regular playing cards, two cards are drawn at random. What is the...
The following data about the flow of liquid was observed in a continuous chemica...
The figure shows a pin-jointed plane truss loaded at the point M by hanging a ma...
The figure below shown a pair of pin jointed gripper tongs holding an object wei...
A rigid body shown in the fig.(a) has a mass of 10kg. It rotates with a uniform ...
An ejector mechanism consists of a helical compression spring having a spring co...
An incompressible fluid (kinematic viscosity $$= 7.4 \times {10^{ - 7}}\,\,{m^2... A fluid flow is represented by the velocity field$$\overrightarrow V = ax\,\ov...
A closed cylinder having a radius $$R$$ and height $$H$$ is filled with oil of d...
For a fluid flow through a divergent pipe of length $$L$$ having inlet and outle...
The pressure gauges $${G_1}$$ and $${G_2}$$ installed on the system shown pressu...
The pressure gauges $${G_1}$$ and $${G_2}$$ installed on the system show pressur...
For air flow over a flat plate, velocity $$(U)$$ and boundary layer thickness $$... One dimensional unsteady state heat transfer equation for a sphere with heat gen... A spherical thermocouple junction of diameter$$0.706 mm$$is to be used for the... In a condenser, water enters at$${30^ \circ }C$$and flows at the rate$$1500$$... There are two products P and Q with the following characteristics <img class="qu... A company has an annual demand of$$1000$$units, ordering cost of Rs.$$100$$/or... In$$PERT$$analysis a critical activity has For a product, the forecast and the actual sales for December$$2002$$were$$25...
An electronic equipment manufacturer has decided to add a component sub-assembly...
A maintenance service facility has Poisson arrival rates, negative exponential s...
A company produces two types of toys: $$P$$ and $$Q.$$ Production time of $$Q$$ ...
Two mating spur gears have $$40$$ and $$120$$ teeth respectively. The pinion rot...
A compacting machine shown in the figure below is used to create a desired thrus...
A compacting machine shown in the figure below is used to create a desired thrus...
Misrun is a casting defect which occurs due to
Gray cast iron blocks $$200 \times 100 \times 10\,\,mm$$ are to be cast in sand ...
In a rolling process, sheet of $$25$$ $$mm$$ thickness is rolled to $$20$$ $$mm... Two 1 mm thick steel sheets are to be spot welded at a current of$$5000A.$... In a machining operation, doubling the cutting speed reduces the tool life to $$... A standard machine tool and an automatic machine tool are being compared for the... In an orthogonal cutting test on mild steel, the following data were obtained <... Through holes of$$10mm$$diameter are to be drilled in steel plate of$$20... $$10$$ $$mm$$ diameter holes are to be punched in a steel sheet of $$3$$ $$mm$$ ... A hole of diameter $${25.00^{ + 0.01}}\,\,mm$$ is to be inspected by using GO / ... During the execution of a CNC part program block <br>$$NO20\,\,\,\,GO2\,\,\,\,X... In a$$2-DCAD$$package, clockwise circular arc of radius,$$5,$$specified... A uniform, slender cylindrical rod is made of a homogeneous and isotropic materi... In terms of Poisson's ratio$$\left( \mu \right)$$the ratio of Young's Modulus... The figure below shows a steel rod of$$25$$mm<sup>2</sup> cross sectional area... The figure shows the state of stress at a certain point in a stressed body. The ... The Mohr's circle of plane stress for a point in a body is shown. The design is ... A torque of$$10N-m$$is transmitted through a stepped shaft as shown in fi... A solid circular shaft of$$60$$mm diameter transmits a torque of$$1600$$N - ... A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figur... A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figur... For a mechanism shown below, the mechanical advantage for the given configuratio... Match the following <br><b>Type of Mechanism</b> <br>$$P.$$Scott - Russel mech... In the figure shown, the relative velocity of link$$1$$with respect to link$$... Match the following with respect to spatial mechanism. <p><b>Type of Joint</b> <... The figure below shows a planar mechanism with single degree of freedom. The ins... A vibrating machine is isolated from the floor using springs. If the ratio of ex... A uniform stiff rod of length $$300$$ $$mm$$ and having a weight of $$300$$ $$N... A mass M, of 20 kg is attached to the free end of a steel cantilever beam of len... A gas contained in a cylinder is compressed, the work required for compression b... A heat engine having an efficiency of$$70\% $$is used to drive a refrigerator ... A solar collector receiving solar radiation at the rate of$$0.6kW/{m^2}$$t... A steel billet of$$2000kg$$mass is to be cooled from$$1250K$$to$$... Consider a steam power plant using a reheat cycle as shown. Steam leaves the boi... Consider a steam power plant using a reheat cycle as shown. Steam leaves the boi... A centrifugal pump is required to pump water to an open water tank situated $$4... At a hydro electric power plant site, available head and flow rate are$$24.5$\$ ...

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