GATE ME kind:question PYQs & Answers — Page 23

Questions 221–230 of 1040. Imported answers require independent review unless marked reviewed.

The principal stresses at a point P in a solid are 70 MPa, −70 MPa and 0. The yield stress of the material is 100 MPa. Which prediction(s) about material failure at P is/are CORRECT?

Your answerSelect all correct options. You can choose more than one.

Maximum normal stress theory predicts that the material fails

Maximum shear stress theory predicts that the material fails

Maximum normal stress theory predicts that the material does not fail

Maximum shear stress theory predicts that the material does not fail

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Which of the plot(s) shown is/are valid Mohr’s circle representations of a plane stress state in a material? (The center of each circle is indicated by O.)

Diagram for Mechanical Engineering question 27

Your answerSelect all correct options. You can choose more than one.

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Consider a laterally insulated rod of length L and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following steady-state temperature profile(s) can occur without internal heat generation?

Your answerSelect all correct options. You can choose more than one.

Diagram for Mechanical Engineering question 28

Diagram for Mechanical Engineering question 28 (figure 2)

Diagram for Mechanical Engineering question 28 (figure 3)

Diagram for Mechanical Engineering question 28 (figure 4)

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Two mesh spur gears 1 and 2 with diametral pitch of 8 teeth per mm and an angular velocity ratio |ω₂|/|ω₁| = 1/4, have their centers 30 mm apart. The number of teeth on the driver (gear 1) is ______ . (Answer in integer)

Diagram for Mechanical Engineering question 29

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The figure shows a block of mass m = 20 kg attached to a pair of identical linear springs, each having a spring constant k = 1000 N/m. The block oscillates on a frictionless horizontal surface. Assuming free vibrations, the time taken by the block to complete ten oscillations is ________ seconds. (Rounded off to two decimal places)

Take π = 3.14.

Diagram for Mechanical Engineering question 30

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A vector field

is defined over a conical region having height h = 2, base radius r = 3 and axis along z, as shown in the figure. The base of the cone lies in the x-y plane and is centered at the origin.

If n denotes the unit outward normal to the curved surface S of the cone, the value of the integral

equals ________ . (Answer in integer)

Diagram for Mechanical Engineering question 31

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A linear transformation maps a point

in the plane to the point

according to the rule

Then, the disc

gets transformed to a region with an area equal to ________ . (Rounded off to two decimals)

Use π = 3.14.

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The value of k that makes the complex-valued function

analytic, where

, is ________.

(Answer in integer)

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The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the application of a force

. The belt wraps around the pulley over an angle

degrees. The coefficient of friction between the belt and the pulley is 0.3. The influence of centrifugal forces on the belt is negligible.

During braking, the ratio of the tensions

in the belt is equal to ________ . (Rounded off to two decimal places)

Take

Diagram for Mechanical Engineering question 34

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Consider a counter-flow heat exchanger with the inlet temperatures of two fluids (1 and 2) being

K and

K. The heat capacity rates of the two fluids are

W/K and

W/K, and the effectiveness of the heat exchanger is 0.5. The actual heat transfer rate is _____ kW.

(Answer in integer)

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GATE ME kind:question PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35