Mechanical Engineering - ME 2017 GATE Paper MCQ Quiz - GATE MCQ

The damping ratio for a viscously damped spring mass system, governed by the relationship 

The differential equation    + 16y = 0 for y (x) with the two boundary conditions 

Metric thread of 0.8 mm pitch is to be cut on a lathe. Pitch of the lead screw is 1.5 mm. If the spindle rotates at 1500 rpm, the speed of rotation of the lead screw (rpm) will be _________

A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = t², q (t)= t, where t is time. The kinetic energy of the particle at time t = 2 is

The Poisson‟s ratio for a perfectly incompressible linear elastic material is

A heat pump absorbs 10 kW of heat from outside environment at 250 K while absorbing 15 kW of work. It delivers the heat to a room that must be kept warm at 300K. The Coefficient of Performance (COP) of the heat pump is ___________.

Which one of the following is NOT a rotating machine?

Consider the schematic of a riveted lap joint subjected to tensile load F, as shown below. Let d be the diameter of the rivets, and Sf be the maximum permissible tensile stress in the plates. What should be the minimum value for the thickness of the plates to guard against tensile failure of the plates? Assume the plates to be identical.

Water (density =1000 kg/m3) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of 1 kg/s. If the pressure drop across the pipe is 100 kPa, the minimum power required to pump the water across the pipe, in watts, is _______

For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?

Cylindrical pins of diameter 15^±0.020 mm are being produced on a machine. Statistical quality control tests show a mean of 14.995 mm and standard deviation of 0.004mm. The process capability index C_p is

The product of Eigen values of the matrix P is 

Match the processes with their characteristics. 

In an arc welding process, welding speed is doubled. Assuming all other process parameters to be constant, the cross sectional area of the weld bead will

A six-face fair dice is rolled a large number of times. The mean value of the outcomes is 

Consider the two dimensional velocity field given by  wher a , b , a and b are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible? 

Consider a beam with circular cross-section of diameter d. The ratio of the second moment of area about the neutral axis to the section modulus of the area is.

Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.

In a metal forming operation when the material has just started yielding, the principal stresses are σ₁ = +180 MPa, σ₂ = -100 MPa, σ₃ = 0. Following Von Mises criterion, the yield stress is ________ MPa.

In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to 

A parametric curve defined by x     in the range 0<u<1 is rotated 
about the X – axis by 360 degrees. Area of the surface generated is.

Assume that the surface roughness profile is triangular as shown schematically in the figure. If the peak to valley height is 20 mm, The central line average surface roughness Ra (in mm ) is

 A thin uniform rigid bar of length L and mass M is hinged at point O, located at a distance of L/3 from one of its ends. The bar is further supported using springs, each of stiffness k, located at the two ends. A particle of mass m = M/4 is fixed at one end of the bar, as shown in the figure.For small rotations of the bar about O, the natural frequency of the system is

A point mass of 100 kg is dropped onto a massless elastic bar (cross-sectional area = 100 mm², length = 1m, Young‟s moduls = 100 GPa) from a height H of 10mm as shown (Figure is not to scale). If g = 10m/s², the maximum compression of the elastic bar is _______ mm.

One kg of an ideal gas (gas constant, R = 400 J/kg.K; specific heat at constant volume, cn = 1000J/kg.K) at 1 bar, and 300 K is contained in a sealed rigid cylinder. During an adiabatic process, 100kJ of work is done on the system by a stirrer. The increase in entropy of the system is _________ J/K.

The molar specific heat at constant volume of an ideal gas is equal to 2.5 times the universal gas constant (8.314 J/mol.K). When the temperature increases by 100K, the change in molar specific enthalpy is _______________ J/mol.