The solution of the differential equation $${{dy} \over {dx}} + {y^2} = 0$$ is

A truss consists of horizontal members (AC, CD, DB and EF) and vertical members (CE and DE) having length 1 each. The me

A bullet of mass ‘m’ travels at a very high velocity v (as shown in the figure) and gets embedded inside the block of ma

A reel of mass $$'‘m'’$$ and radius of gyration $$'‘'k’$$ is rolling down smoothly from rest with one end of the thread

A reel of mass $$'‘m'’$$ and radius of gyration $$'‘'k’$$ is rolling down smoothly from rest with one end of the thread

A cylindrical body of cross - sectional area A, height $$H$$ and density $${\rho _s},$$ is immersed to a depth $$h$$ in

A water container is kept on a weighing balance. Water from a tap is falling vertically into the container with a volume

Air flows through a venture and into atmosphere. Air density is $$\rho $$; atmospheric pressure is $$'\,{P_a}';$$ throat

A syringe with a frictionless plunger contains water and has at its end a $$100$$ $$mm$$ long needle of $$1$$ $$mm$$ dia

A syringe with a frictionless plunger contains water and has at its end a $$100$$ $$mm$$ long needle of $$1$$ $$mm$$ dia

Heat is being transferred by convection from water at $${48^ \circ }C$$ to a glass plate whose surface that is exposed t

Heat is being transferred by convection from water at $${48^ \circ }C$$ to a glass plate whose surface that is exposed t

Consider a laminar boundary layer over a heated flat plate. The free stream velocity is $${U_\infty }.$$ At some distanc

A plate having $$10\,\,c{m^2}$$ area each side is hanging in the middle of a room of $$100\,\,{m^2}$$ total surface area

In a counter flow heat exchanger, for the hot fluid the heat capacity $$= 2kJ/kg$$ $$K,$$ mass flow rate $$= 5 kg/s,$$ i

Market demand for springs is $$8,00,000$$ per annum. A company purchases these springs in lots and sells them. The cost

A project consists of activities $$A$$ to $$M$$ shown in the net in the following figure with the duration of the activi

The sale of cycles in a shop in four consecutive months are given as $$70, 68, 82 95.$$ Exponentially smoothing average

A manufacturer produces two types of products, $$1$$ and $$2,$$ at production levels of $${x_1}$$ and $${x_2}$$ respect

In terms of theoretical stress concentration factor $$\left( {{k_t}} \right)$$ and fatigue stress concentration factor

The $$S$$-$$N$$ curve for steel becomes asymptotic nearly at

In a band brake the ratio of tight side band tension to the tension on the slack side is $$3.$$ If the angle of overlap

Hardness of green sand mould increase with

With a solidification factor of $$0.97 \times {10^6}s/{m^2},$$ the solidification time (in seconds) for a spherical cast

Cold working of steel is defined as working

A brass billet is to be excluded from its initial diameter of $$100mm$$ to a final diameter of $$50mm$$. The working tem

In Oxyacetylene gas welding, temperature at the inner cone of the flame is around

Match the following

The arc - voltage characteristics of a $$DC$$ power source has a linear power source characteristic of $$V=20+40L,$$ wh

Formation on build-up edge during machining can be avoided by using

A batch of $$10$$ cutting tools could produce $$500$$ components while working at $$50$$ $$rpm$$ with a tool feed of $$0

A cylinder is turned on a lathe with orthogonal machining principle. Spindle rotates at $$200rpm$$. The axial feed rate

A cylinder is turned on a lathe with orthogonal machining principle. Spindle rotates at $$200rpm$$. The axial feed rate

A good cutting fluid should have

Quality screw threads are produced by

A shell of $$100$$ $$mm$$ diameter and $$100$$ $$mm$$ height with the corner radius of $$0.4$$ $$mm$$ is to be produced

A metal disc of $$20$$ $$mm$$ diameter is to be punched from a sheet of $$2$$ $$mm$$ thickness. The punch and the die cl

The dimensional limits on a shaft of $$25h7$$ are

A part shown in the gig is machined to the sizes given below With $$100\% $$ confidence, the resultant dimension $$W$

A threaded nut of $$M16, $$ $$ISO$$ metric type having $$2$$ $$mm$$ pitch with a pitch diameter of $$14.701$$ $$mm$$ is

Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One

A $$200 \times 100 \times 50$$ mm steel block is subjected to a hydrostatic pressure of $$15$$ MPa. The Young's modulus

A shaft subjected to torsion experiences a pure shear stress $$\tau $$ on the surface. The maximum principal stress on t

The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 M

The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 M

The second moment of a circular area about the diameter is given by (D is the diameter)

The beams, one having square cross section and another circular cross-section,are subjected to the same amount of bendin

Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240 MPa. If the shaft diam

A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measur

The mechanism used in a shaping machine is

The lengths of the links of a 4-bar linkage with revolute pairs only are $$p,q,r$$ and $$s$$ units. Given that $$p <

The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the poi

The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the poi

The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of

The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of

For a certain engine having an average speed of $$1200$$ rpm, a flywheel approximated as a solid disc, is required for k

A flexible rotor-shaft system comprises of a $$10kg$$ rotor disc placed in the middle of a mass-less shaft of diameter $

A uniform rigid slender bar of mass $$10$$ $$kg.$$ is hinged at the left end is suspended with the help of spring and d

A uniform rigid slender bar of mass $$10$$ $$kg.$$ is hinged at the left end is suspended with the help of spring and d

A $$2$$ $$kW,$$ $$40$$ liter water heater is switched on for $$20$$ minutes. The heat capacity $${C_p}$$ for water is $$

An industrial heat pump operates between the temperatures of $${27^ \circ }C$$ and $$ - {13^ \circ }C.$$ The rates of he

Considering the relationship $$TdS=dU+PdV$$ between the entropy $$(S),$$ internal energy $$(U),$$ pressure $$(P),$$tempe

Nitrogen gas (molecular weight $$28$$) is enclosed in a cylinder by a piston, at the initial condition of $$2$$ bar, $$2

Nitrogen gas (molecular weight $$28$$) is enclosed in a cylinder by a piston, at the initial condition of $$2$$ bar, $$2

Considering the variation of static pressure and absolute velocity in an impulse stream turbine, across one row of movin

In a Rankine cycle, regeneration results in higher efficiency because

Match the following