Complete GATE ME 2017 Paper 2 overview, original pages and practice · Timed previous-paper practice

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 11 of 22

Question 31

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ME-2NAT2 marksNeeds review
The radius of gyration of a compound pendulum about the point of suspension is 100 mm. The distance between the point of suspension and the centre of mass is 250 mm. Considering the acceleration due to gravity as 9.81 m/s², the natural frequency (in radian/s) of the compound pendulum is ________.

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Question 32

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ME-2NAT2 marksNeeds review
A gear train shown in the figure consists of gears P, Q, R and S. Gear Q and gear R are mounted on the same shaft. All the gears are mounted on parallel shafts and the number of teeth of P, Q, R and S are 24, 45, 30 and 80, respectively. Gear P is rotating at 400 rpm. The speed (in rpm) of the gear S is ________.
Diagram for Mechanical Engineering question 32


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Question 33

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ME-2NAT2 marksNeeds review
A helical compression spring made of a wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is 24 MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is ________.

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