Bentonite is commonly used bonding material for dry sand cores

According to Chvorinove's rule, the solidification time of a casting is proportional to [Volume/Surface area]ⁿ where $$n=....$$

A cylinder of $$150mm$$ diameter & $$200mm$$ height is to be cast with out any riser. The cylinder is moulded entirely in the drag of a green sand flask & is top gated. The cope of the flask is $$200mm$$ height & the height of the metal during pouring is $$50mm$$ above the cope. A tapered sprue is employed & the gating ratio is $$1:1.5:2$$. The time taken (in seconds) to fill the casting cavity neglecting energy losses, if the in-gate area is $$400sq.mm$$

If for a matrix, rank equals both the number of rows and number of columns, then the matrix is called

The matrix $$\left[ {\matrix{ 1 & { - 4} \cr 1 & { - 5} \cr } } \right]$$ is an inverse of the matrix $$\left[ {\matrix{ 5 & { - 4} \cr 1 & { - 1} \cr } } \right]$$

For the following matrix $$\left[ {\matrix{ 1 & { - 1} \cr 2 & 3 \cr } } \right]$$ the number of positive characteristic roots is

Given matrix $$L = \left[ {\matrix{ 2 & 1 \cr 3 & 2 \cr 4 & 5 \cr } } \right]\,\,$$ and $$M = \left[ {\matrix{ 3 & 2 \cr 0 & 1 \cr } } \right]$$
then $$L \times M$$ is

Solve for $$y$$ if $${{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + y = 0$$ with $$y(0)=1$$ and $${y^1}\left( 0 \right) = - 2$$

The value of the following determinant $$\left[ {\matrix{ 1 & 4 & 9 \cr 4 & 9 & {16} \cr 9 & {16} & {25} \cr } } \right]$$ is

The composition of an oxy-acetylene flame for cutting of steel contain more oxygen.

Parting-off operation is carried out on a cylindrical work-piece of $$100mm$$ diameter. The groove width is $$2$$ $$mm$$ and an in feed of $$0.2$$ $$mm$$ per revolution is given at a maximum cutting speed of $$60$$ $$m/mm.$$ The specific cutting force for the material is $$800\,\,N/m{m^2}.$$

The tangential force on the tool is

A part can be machined in $$30$$ minutes on an engine lathe where as it can be machined in $$6$$ minutes on a turret lathe. However, it would cost additionally Rs. $$500$$ to tool up the turret lathe for the operation. If the hourly rate including labour and overhead is Rs. $$80$$ for the engine lathe and Rs. $$160$$ for the turret lathe, The minimum number of parts required to make the turret lathe more economical to use, for the operation

In an orthogonal cutting operation, the cutting velocity is $$30$$ $$m/min$$ and the chip velocity $$15$$ $$m/min.$$ If the rake angle of the tool is $${10^0}$$.

The shear angle is

In an orthogonal cutting operation, the cutting velocity is $$30$$ $$m/min$$ and the chip velocity $$15$$ $$m/min.$$ If the rake angle of the tool is $${10^0}$$.

Shear velocity with the help of a velocity triangle.

In an orthogonal cutting operation,
The depth of cut $$=2$$ $$mm,$$
Width of cut $$=15$$ $$mm,$$
Cutting speed $$=0.5$$ $$m/s$$ and
The rake angle $$=0$$ deg.
The cutting force and the thrust force are respectively $$900$$ $$N$$ and $$600$$ $$N$$ and the shear angle $$=30$$ $$deg$$.

The average coefficient of friction between the chip and the tool is

In an orthogonal cutting operation,
The depth of cut $$=2$$ $$mm,$$
Width of cut $$=15$$ $$mm,$$
Cutting speed $$=0.5$$ $$m/s$$ and
The rake angle $$=0$$ deg.
The cutting force and the thrust force are respectively $$900$$ $$N$$ and $$600$$ $$N$$ and the shear angle $$=30$$ $$deg$$.

The cutting power in watts is

In an orthogonal cutting operation,
The depth of cut $$=2$$ $$mm,$$
Width of cut $$=15$$ $$mm,$$
Cutting speed $$=0.5$$ $$m/s$$ and
The rake angle $$=0$$ deg.
The cutting force and the thrust force are respectively $$900$$ $$N$$ and $$600$$ $$N$$ and the shear angle $$=30$$ $$deg$$.

The length of the shear plane is

Parting-off operation is carried out on a cylindrical work-piece of $$100mm$$ diameter. The groove width is $$2$$ $$mm$$ and an in feed of $$0.2$$ $$mm$$ per revolution is given at a maximum cutting speed of $$60$$ $$m/mm.$$ The specific cutting force for the material is $$800\,\,N/m{m^2}.$$

The maximum power requirement for the operation is

$$FMS$$ is well suited to mass scale manufacturing.

In $$DNC$$ each machine tool is controlled by a dedicated computer.

$$FAPT$$ is a part programming language.

Match the following

In metal cutting $$BUE$$ formation results in

Only negative rake angles are used with the following tool material

Machinability of steels is improved by the addition of

The heat generated in metal cutting is dissipated in different proportions into environment, tool, chip and work-piece. The correct order of this proportion in decreasing magnitude is (no cutting fluid is use ($$d$$)

In producing a punched hole of $$20mm$$ diameter, the dimension of the punch is ........ given the radial die clearance of $$0.1mm.$$

In a bending operation, If the modulus of elasticity $$E$$ is increased keeping all other parameters unchanged, the spring back will

In blanking operation, the best way to improve the smoothness and squarness of the edges is to

The function of draw bead in the deep drawing operation is to

In metal forming operation, the true strain in the $$X$$-direction is $$0.3$$ and in the $$Y$$-direction is $$-0.1.$$ The true strain in the $$Z$$-direction is

Forces in hot extrusion is a function of the strain hardening component of the billet material.

In order to reduce roll pressure in strip rolling, back tension can be applied to strip.

Which one of the following manufacturing process requires the provision of 'gutters'

A moving mandrel is used in

An annealed copper wire of $$25 mm$$ diameter is drawn into a wire of $$5$$ $$mm$$ dia. The average yield stress in this operation if the flow curve of the material is given
$$\sigma = 315{ \in ^{0.54}}\,MPa$$

Abbe's principle of alignment is used in measurements made in .................

The combination of slip gauges to obtain a dimension of $$10.35$$ $$mm$$ will be

A hole is specified as $$\phi 30 \pm 0.04mm$$ with $$\phi \,\,0.01\,\,M.$$ The virtual diameter of the hole (i.e the maximum diameter of the pin that can enter the hole ) is ________________