GATE ME 2026 Paper 1 — page 7

Questions 19–21 of 65. Imported answers require review unless explicitly marked reviewed.

A closely coiled helical compression spring of mean coil diameter

and wire diameter

, is loaded by an axial force

The maximum shear stress developed in the wire is

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The rotor of an aeroplane engine has a mass moment of inertia 1.0 kg m

. The engine rotates at a speed of 500 RPM in the clockwise direction if viewed from the front of the aeroplane. If the aeroplane while flying at 1200 km/hr turns with a radius of 2 km at same elevation, then the magnitude of the gyroscopic moment exerted by the rotor on the aeroplane structure in N m is

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8.73

17.46

4.37

26.19

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A rectangular plate is perfectly welded to a gusset plate with parallel fillet weld joints as shown in the figure below. The length of the weld is

and the fillet weld leg size is

. The allowable shear strength of the weldment is

. A tensile force

is applied on the plate in a direction parallel to the length of the weld. Assuming the throat of the weld as the weakest section, the critical load is

Diagram for Mechanical Engineering question 21

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2026 · Paper 1

Question 19

Question 20

Question 21