GATE ME topic:mechanics PYQs & Answers — Page 26

Questions 251–260 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 26 of 104

An optical flat is used to measure the height difference between a reference slip gauge A and a slip gauge B. Upon viewing via the optical flat using a monochromatic light of wavelength 0.5 μm, 12 fringes were observed over a length of 15 mm of gauge B. If the gauges are placed 45 mm apart, the height difference of the gauges is __________ μm.

(Answer in integer)

Diagram for Mechanical Engineering question 56

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Ignoring the small elastic region, the true stress (

) – true strain (

) variation of a material beyond yielding follows the equation

MPa. The engineering ultimate tensile strength value of this material is __________ MPa.

(Rounded off to one decimal place)

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The area moment of inertia about the y-axis of a linearly tapered section shown in the figure is __________ m

(Answer in integer)

Diagram for Mechanical Engineering question 58

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A cylindrical bar has a length

and cross section area

. The bar is made of a linear elastic material with a density

and Young’s modulus

. The bar is suspended as shown in the figure and is in a state of uniaxial tension due to its self-weight.

The elastic strain energy stored in the bar equals ________ J. (Rounded off to two decimal places)

Take the acceleration due to gravity as

Diagram for Mechanical Engineering question 59

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A cylindrical transmission shaft of length 1.5 m and diameter 100 mm is made of a linear elastic material with a shear modulus of 80 GPa. While operating at 500 rpm, the angle of twist across its length is found to be 0.5 degrees.

The power transmitted by the shaft at this speed is ______kW. (Rounded off to two decimal places)

Take

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Consider a mixture of two ideal gases, X and Y, with molar masses

and

, respectively, in a container. The total pressure in the container is 100 kPa, the total volume of the container is 10 m

and the temperature of the contents of the container is 300 K. If the mass of gas-X in the container is 2 kg, then the mass of gas-Y in the container is ____ kg. (Rounded off to one decimal place)

Assume that the universal gas constant is 8314 J kmol

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The velocity field of a certain two-dimensional flow is given by

where

. The coordinates

and

are in meters. Assume gravitational effects to be negligible.

If the density of the fluid is 1000 kg/m

and the pressure at the origin is 100 kPa, the pressure at the location (2 m, 2 m) is ____________ kPa.

(Answer in integer)

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Consider a unidirectional fluid flow with the velocity field given by

where

. If the spatially homogeneous density field varies with time

the value of $u(2,1) is ______________. (Rounded off to two decimal places)

Assume all quantities to be dimensionless.

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The figure shows two fluids held by a hinged gate. The atmospheric pressure is

kPa. The moment per unit width about the base of the hinge is ____________ kN·m/m. (Rounded off to one decimal place)

Take the acceleration due to gravity to be

Diagram for Mechanical Engineering question 64

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An explosion at time

releases energy

at the origin in a space filled with a gas of density

. Subsequently, a hemispherical blast wave propagates radially outwards as shown in the figure.

Let R denote the radius of the front of the hemispherical blast wave. The radius R follows the relation

, where k is a dimensionless constant. The value of exponent a is __________.

(Rounded off to one decimal place)

Diagram for Mechanical Engineering question 65

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GATE ME topic:mechanics PYQs

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65