GATE ME 2022 Paper 2 — page 6

Questions 16–18 of 65. Imported answers require review unless explicitly marked reviewed.

Which one of the following is the definition of ultimate tensile strength (UTS) obtained from a stress-strain test on a metal specimen?

Your answerChoose one option.

Stress value where the stress-strain curve transitions from elastic to plastic behavior

The maximum load attained divided by the original cross-sectional area

The maximum load attained divided by the corresponding instantaneous cross-sectional area

Stress where the specimen fractures

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A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and

is the acceleration due to gravity. The disc is then given a rapid spin

about its axis in the positive x-axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE will

Diagram for Mechanical Engineering question 17

Your answerChoose one option.

rotate slowly (compared to

) about the negative z-axis direction

rotate slowly (compared to

) about the positive z-axis direction

rotate slowly (compared to

) about the positive y-axis direction

rotate slowly (compared to

) about the negative y-axis direction

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A structural member under loading has a uniform state of plane stress which in usual notations is given by

and

, where

. The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of

at which yielding starts (according to the maximum distortion energy theory) is

Your answerChoose one option.

70 MPa

90 MPa

120 MPa

75 MPa

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2022 · Paper 2

Question 16

Question 17

Question 18