GATE 2005 Production & Industrial
43 questions across 1 session
$$NC$$ contouring is an example of
A $$\phi \,\,25$$ $$mm$$ hole is pierced in a $$t=2.5mm$$ thick steel sheet having shear strength $$\tau = 350\,\,MPa.$$ If the diametral clearance is given by the expression $$C=0...
The function $$$w = u + iv = {1 \over 2}\log \left( {{x^2} + {y^2}} \right) + i{\tan ^{ - 1}}\left( {{y \over x}} \right)$$$ is not analytic at the point.
The differential equation $${\left[ {1 + {{\left( {{{d\,y} \over {d\,x}}} \right)}^2}} \right]^3} = {C^2}{\left[ {{{{d^2}\,y} \over {d\,{x^2}}}} \right]^2}$$ is of
The eigen values of the matrix $$M$$ given are $$15, 3, $$ and $$0.$$ $$M = \left[ {\matrix{ 8 & { - 6} & 2 \cr { - 6} & 7 & { - 4} \cr 2 & { - 4} & 3 \cr } } \right],$$ the value...
For solving algebraic and transcendental equation which one of the following is used?
Newton $$-$$ Raphson formula to find the roots of an equation $$f(x)=0$$ is given by
The real root of the equation $$x{e^x} = 2$$ is evaluated using Newton $$-$$ Raphson's method. If the first approximation of the value of $$x$$ is $$0.8679,$$ the $${2^{nd}}$$ appr...
Two dice are thrown simultaneously. The probability that the sum of numbers on both exceeds $$8$$ is
The life of a bulb (in hours) is a random variable with an exponential distribution $$\,\,f\left( t \right) = \alpha {e^{ - \alpha t}},0 \le t \le \infty .\,\,\,$$ The probability...
Which one of the following is Not associated with vector calculus?
Consider the following statements: In comparison to hot working, in cold working, $$1.$$ Higher forces are required $$2.$$ No heating is required $$3.$$ Less ductility is required...
Assertion (A) : Cold working of metals result in increase of strength and hardness. Reason (R) : Cold working reduces the total number of dislocations per unit volume of the materi...
A round billet made of brass is to be extruded (extrusion constant $$=250$$ $$MPa$$ ) at $${700^ \circ }C.$$ The billet diameter is $$100$$ $$mm$$ and the diameter of the extrusion...
The true stress-true strain curve is given by $$\sigma = 1400\,{\varepsilon ^{0.33}},$$ where the stress $$\sigma $$ is in $$MPa.$$ The true stress at maximum load (in $$MPa$$) is
A level having $${90^0}$$ bend is to be produced by drop forging using mild steel bar as raw material. The various operations to be performed on it during forging are: $$P$$ - Cutt...
Cold shut (lap) may occur in products obtained by:
Flash and gutter are provided in drop forging dies at the following stage:
The shape factor for a casting in the form of an annular cylinder of outside diameter $$30$$ $$cm,$$ inside diameter $$20$$ $$cm$$ and height $$30$$ $$cm$$ (correction factor $$k=1...
A cast steel slab of dimension $$30 \times 20 \times 5\,\,cm$$ is poured horizontally using a side riser. The riser is cylindrical in shape with diameter and height, both equal to...
Consider the following statements: The size of the heat affected zone (HAZ) will increase with $$1.$$ increased starting temperature $$2.$$ increased welding speed $$3.$$ increased...
Consider the following statements : The magnitude of residual stresses in welding depends upon $$1.$$ Metal melted / deposited $$2.$$ Design of weldment $$3.$$ Support and clamping...
Two $$8$$ $$mm$$ thick steel plates are placed $$5$$ $$mm$$ apart and welded by a butt joint. Welding is carried out at $$20$$ $$V$$ and speed of $$5$$ $$mm/sec.$$ Heat transfer ef...
In a fabrication shop, a $$T$$-joint is to be made between two plates using a chain intermittent, double fillet weld of $$6$$ $$mm$$ leg length. The intermittent welds are $$40$$ $...
Consider the following characteristics: $$1.$$ Single machine tool. $$2.$$ Manual materials handling system $$3.$$ Computer control. $$4.$$ Random sequencing of part to machines. W...
In a shaper machine, the mechanism for tool feed is
Tool life in the case of a grinding wheel is the time
One brand of milling machine has the following two index plates supplied along with the indexing head: Plate 1: $$15, 16, 17, 18, 19, 20$$ hole circles. Plate 2: $$21, 23, 27, 29,...
In a machining operation chip thickness ratio is $$0.3$$ and the back rake angle of the tool is $${10^ \circ }.$$ What is the value of the shear strain?
Consider the following statements During the third stage of tool-wear, rapid deterioration of tool edge takes place because $$1.$$ Flank wear is only marginal. $$2.$$ Flank wear is...
The following data relate to an orthogonal turning process: $$\,\,\,\,\,\,\,\,\,\,\,$$Back rake angle $$=15deg,$$ $$\,\,\,\,\,\,\,\,\,\,\,$$Width of cut $$=2mm,$$ $$\,\,\,\,\,\,\,\...
Consider the following statements $$1.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ As the cutting speed increases, the cost of production initially reduces, then $$\,\,\,\,\,\,\,\,\,\,\,\,$$aft...
The rake angle of a cutting tool is $${15^ \circ }$$, shear angle $${45^ \circ }$$ and cutting velocity $$35$$ $$m/min$$. What is the velocity of chip along the tool face?
A $$\phi $$ $$40$$ $$mm$$ job is subjected to orthogonal turning by a $$ + {10^ \circ }$$ rake angle tool at $$500$$ $$rev/min.$$ By direct measurement during the cutting operation...
A $$\phi $$ $$40$$ $$mm$$ job is subjected to orthogonal turning by a $$ + {10^ \circ }$$ rake angle tool at $$500$$ $$rev/min.$$ By direct measurement during the cutting operation...
The following data relate to an orthogonal turning process: $$\,\,\,\,\,\,\,\,\,\,\,$$Back rake angle $$=15deg,$$ $$\,\,\,\,\,\,\,\,\,\,\,$$Width of cut $$=2mm,$$ $$\,\,\,\,\,\,\,\...
A batch of $$500$$ jobs of diameter $$50$$ $$mm$$ and length $$100$$ $$mm$$ is to be turned at $$200$$ $$rev/min$$ and feed $$0.2$$ $$mm/rev.$$ Applying Taylor's equation $$V{T^{0....
A batch of $$500$$ jobs of diameter $$50$$ $$mm$$ and length $$100$$ $$mm$$ is to be turned at $$200$$ $$rev/min$$ and feed $$0.2$$ $$mm/rev.$$ The number of components per tool li...
If each abrasive grain is viewed as a cutting tool, then which of the following represents the cutting parameters in common grinding operations?
The effects of setting a boring tool above center height leads to a/an.
Ring gage is used to measure
A cylindrical pin of diameter $${1.996^{\matrix{ { + 0.0015} \cr { - 0.0015} \cr } }}\,\,mm$$ is assembled into a hole of diameter $${2.000^{\matrix{ { + 0.0015} \cr { - 0.0015} \c...
An expandable pattern is used in