GATE PI 2006
GATE PI
1
Cold shut is a defect in casting due to
2
A casting of size $$400mm \times 200mm \times 140mm$$ solidifies in $$20min.$$ The solidification time for a casting $$400mm \times 200mm \times 35mm$$ under similar conditions is
3
Match the following

4
Complete the manual part program for drilling a hole located at point $$(20, 20)$$ from the target point . The depth of the hole to be drilled is $$15mm$$
$$\eqalign{ & \,\,\,\,\,\,FROM/TARG \cr & \,\,\,\,\,\,GOTO/20,\,\,20,\,\,0 \cr} $$
$$\eqalign{ & \,\,\,\,\,\,FROM/TARG \cr & \,\,\,\,\,\,GOTO/20,\,\,20,\,\,0 \cr} $$
5
The final finishing process for the surface plate made of cast iron which is used as a reference surface is
6
In the manufacture of twist drills, the shank is joined to the body of the drill using
7
The cutting tool material normally used for turning steel of very high hardness is
8
A gear with $$84$$ teeth is to be machined using a milling process with indexing. The index plate has the following four hole circles: $$36,38, 42., 48.$$ The change gear ratio required is
9
A cup is to be drawn to a diameter of $$70mm$$ with $$35mm$$ depth from a $$0.5mm$$ thick sheet metal. The cup is drawn in one operation. Assume $${\sigma _u} = 430\,\,MPa.$$
The maximum drawing force is
10
A cup is to be drawn to a diameter of $$70mm$$ with $$35mm$$ depth from a $$0.5mm$$ thick sheet metal. The cup is drawn in one operation. Assume $${\sigma _u} = 430\,\,MPa.$$
The required blank diameter is
11
It is required to punch a hole of diameter $$10mm$$ on a sheet of thickness $$3mm.$$ The shear strength of the work material is $$420MPa.$$ The required punch force is
12
In a surface broaching process, a broach having $$5mm$$ pitch and cut per teeth $$0.05mm$$ is used for reducing the thickness by $$6mm.$$ If the length of the work piece is $$50mm$$ and the cutting speed is $$0.05m/s,$$ the time required / pass in seconds is
13
Match the items in Group - $${\rm I}$$ and $${\rm I}$$ $${\rm I}$$

14
A work piece of $$1000$$ $$mm$$ length and $$300$$ $$mm$$ width is machined by planning operation with a feed of $$0.3$$ $$mm/stroke.$$ The machine tool executes $$10$$ double strokes per minute. The planning time for a single pass is
15
It is required to punch a hole of diameter $$10mm$$ on a sheet of thickness $$3mm.$$ The shear strength of the work material is $$420Mpa.$$ The required punch force is
16
A solid cylindrical stainless steel work piece of $$200mm$$ diameter and $$150mm$$ height. This component is reduced by $$50\% $$ in height with flat die in open die forging. Assuming the flow stress of the material as $$1000$$ $$MPa$$ and the coefficient of friction to be $$0.2,$$ the estimated forging force at the end of the stroke is
17
A copper strip of $$200$$ $$mm$$ width and $$30$$ $$mm$$ thickness is to be rolled to a thickness of $$25$$ $$mm.$$ The roll of radius $$300$$ $$mm$$ rotates at $$100$$ $$rpm.$$ The average shear strength of the work material is $$180$$ $$MPa.$$ The roll strip contact length and the roll force are
18
The surface finish of the component produced by a grinding process was measured. Based on roughness parameters obtained, which one of the following is true
19
A keyway of $$5$$ $$mm$$ depth is to be milled in a shaft of diameter $$60 \pm 0.1\,\,$$ by positioning the shaft in a $$V$$-block of angle $$120deg$$ and setting the tool with reference to the intersection of the face of the $$V$$-block. The error due to shaft tolerance which would be transferred on to the component is