Complete GATE PI 2019 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 18 of 22

Question 42

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PINAT2 marksNeeds review
The numerical value of the definite integral

using trapezoidal rule with function evaluations at points

, 0.5 and 1 is ______ (round off to 3 decimal places)

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Question 43

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A thin walled cylindrical pressure vessel with an inside diameter of 300 mm and wall thickness of 3 mm is subjected to an internal gauge pressure of 1.5 MPa. The maximum shear stress (in MPa) at a point located on the inner surface of the pressure vessel is ______

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Question 44

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PINAT2 marksNeeds review
A cam is designed to achieve a simple harmonic motion of a flat-faced follower. Starting from the rest, the follower rises to the maximum height of 50 mm at 180° of cam rotation as shown in the figure.
Diagram for Production and Industrial Engineering question 44

If the cam rotates at a uniform angular speed of 100 rpm, the speed of the follower (in mm/s) at the instance when the cam rotates 45° from the initial position is ______

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