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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Cold working of steel is defined as working

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

Hardness of green sand mould increase with

Match the following

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

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

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

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

A good cutting fluid should have

Quality screw threads are produced by

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

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

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

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

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

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

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

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

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

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

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

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

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

The mechanism used in a shaping machine is

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

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

Match the following

In a Rankine cycle, regeneration results in higher efficiency because

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

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

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

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

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