GATE ME 2023 Paper 1 — page 10

Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.

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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2023 · Paper 1

Question 28

Question 29

Question 30