The inverse Laplace transform of $${1 \over {\left( {{s^2} + s} \right)}}$$ is

An analytic function of a complex variable $$z = x + i\,y$$ is expressed as $$f\left( z \right) = u\left( {x,y} \right)

The divergence of the vector field $$\,3xz\widehat i + 2xy\widehat j - y{z^2}\widehat k$$ at a point $$(1,1,1)$$ is equa

For a matrix $$\left[ M \right] = \left[ {\matrix{ {{3 \over 5}} & {{4 \over 5}} \cr x & {{3 \over 5}}

The area enclosed between the curves $${y^2} = 4x\,\,$$ and $${{x^2} = 4y}$$ is

The distance between the origin and the point nearest to it on the surface $$\,\,{z^2} = 1 + xy\,\,$$ is

If three coins are tossed simultaneously, the probability of getting at least one head is

The standard deviation of a uniformly distributed random variable $$b/w$$ $$0$$ and $$1$$ is

The solution of $$x{{dy} \over {dx}} + y = {x^4}$$ with condition $$y\left( 1 \right) = {6 \over 5}$$

A uniform rigid rod of mass $$M$$ and length $$L$$ is hinged at one end as shown in theadjacent figure. A force P is app

A block weighing 981 $$N$$ is resting on a horizontal surface. The coefficient of friction between the block and the hor

Water at $${25^0}C$$ is flowing through a $$1.0km$$ long $$G.I.$$ pipe of $$200mm$$ diameter at the rate of $$0.07$$ $${

You are asked to evaluate assorted fluid flows for their suitability in a given laboratory application. The following th

Consider steady, incompressible and irrotational flow through a reducer in a horizontal pipe where the diameter is reduc

The velocity profile of a fully developed laminar flow in a straight circular pipe, as shown in the figure, is given by

Consider steady-state heat conduction across the thickness in a plane composite wall as shown in fig exposed to convecti

A coolant fluid at $${30^ \circ }C$$ flows over a heated flat plate maintained at a constant temperature of $${100^ \cir

Radiative heat transfer is intended between the inner surfaces of two very largen isothermal parallel metal plates. Whil

Radiative heat transfer is intended between the inner surfaces of two very largen isothermal parallel metal plates. Whil

In a parallel flow heat exchanger operating under steady state, the heat capacity rates (product of specific heat at con

A company uses $$2555$$ units of an item annually. Delivery lead time is $$8$$ days. The recorder point (in number of un

The expected time $$\left( {{t_e}} \right)$$ of a $$PERT$$ activity in terms of optimistic time $$\left( {{t_0}} \right)

Consider the following network The optimistic time, most likely time and pessimistic time of all the activities are giv

Consider the following network The optimistic time, most likely time and pessimistic time of all the activities are giv

Which of the following forecasting methods takes a fraction of forecast error into account for the next period forecast?

Consider the following Linear Programming problem $$(LLP)$$ Maximize: $$Z = 3{x_1} + 2{x_2}$$ $$\,\,$$ Subject $$\,\,$$

Six jobs arrived in a sequence as given below: Average flow time (in days) for the above jobs using Shortest Processi

A forged steel link with uniform diameter of $$30mm$$ at the centre is subjected to an axial force that varies from $$40

A $${20^ \circ }$$ full depth involute spur pinion of $$4mm$$ module and $$21$$ teeth is to transmit $$15kW$$ at $$960rp

A $${20^ \circ }$$ full depth involute spur pinion of $$4mm$$ module and $$21$$ teeth is to transmit $$15kW$$ at $$960rp

The minimum shear strain in orthogonal turning with a cutting tool of zero rake angle is

Two streams of liquid metal, which are not hot enough to fuse properly, result into a casting defect known as

Match the following

Friction at the tool - chip interface can be reduced by

In a machining experiment, tool life was found to vary with the cutting speed in the following manner The exponent $$(

In a machining experiment, tool life was found to vary with the cutting speed in the following manner What is percenta

What are the upper and lower limits of the shaft represented by $$60{f_8}$$? Use the following data: Diameter $$60$$ lie

Match the following

If the principal stresses in a plane stress problem are $${\sigma _1}$$ $$= 100$$ MPa, $${\sigma _2}$$ $$= 40$$ MPa, th

A solid circular shaft of diameter $$d$$ is subjected to a combined bending moment, $$M$$ and torque, $$T.$$ The materia

A solid shaft of diameter, $$d$$ and length, $$L$$ is fixed at both the ends. A torque, $${T_0}$$ is applied at a distan

A triangular-shaped cantilever beam of uniform- thickness is shown in the figure. The young's modulus of the material of

A frame of two arms of equal length $$L$$ is shown in the adjacent figure. The flexural rigidity of each arm of the fram

A triangular-shaped cantilever beam of uniform- thickness is shown in the figure. The young's modulus of the material of

A simple quick return mechanism is shown in the figure. The forward to return ratio of the quick return mechanism is 2 :

Match the approaches given below to perform stated kinematics/dynamics analysis of machine Analysis $$P.$$ Continuous re

An epicyclic gear train is shown schematically in the adjacent figure The sun gear 2 on the input shaft is a 20 teeth ex

The rotor shaft of a large electric motor supported between short bearings at both the ends shows a deflection of $$1.8$

An automotive engine weighing $$240$$ kg is supported on four springs with linear characteristics. Each of the front two

A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is $$3.6$$ kN/m and the damp

A compressor undergoes a reversible, steady flow process. The gas at inlet and outlet of the compressor is designated as

A frictionless piston-cylinder device contains a gas initially at $$0.8MPa$$ and $$0.015$$ $${m^3}.$$ It expands quasi-s

If a closed system is undergoing an irreversible process, the entropy of the system

The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the figure. The notation

The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the figure. The notation