Complete GATE ME 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

Open question
MENAT2 marksNeeds review
At a critical point in a component, the state of stress is given as

MPa,

MPa,

MPa and all other stress components are zero. The yield strength of the material is 468 MPa. The factor of safety on the basis of maximum shear stress theory is ______ (round off to one decimal place).

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Question 43

Open question
MENAT2 marksNeeds review
A uniform thin disk of mass 1 kg and radius 0.1 m is kept on a surface as shown in the figure. A spring of stiffness

N/m is connected to the disk center A and another spring of stiffness

N/m is connected at point B just above point A on the circumference of the disk. Initially, both the springs are unstretched. Assume pure rolling of the disk. For small disturbance from the equilibrium, the natural frequency of vibration of the system is ______ rad/s (round off to one decimal place).
Diagram for Mechanical Engineering question 43


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Question 44

Open question
MENAT2 marksNeeds review
A single block brake with a short shoe and torque capacity of 250 N·m is shown. The cylindrical brake drum rotates anticlockwise at 100 rpm and the coefficient of friction is 0.25. The value of

, in mm (round off to one decimal place), such that the maximum actuating force

is 2000 N, is ______.
Diagram for Mechanical Engineering question 44


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