Mechanical Engineering
GATE ME exam:gate PYQs
Build your understanding with focused practice from past exam papers.
Questions 861–870 of 1040. Imported answers require independent review unless marked reviewed.
Question 31
Open questionMEMCQ2 marksNeeds review
A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of
as shown in the figure. 
The glue used at the interface fails if
Criterion 1: the maximum normal stress exceeds 2.5 MPa.
Criterion 2: the maximum shear stress exceeds 1.5 MPa.
Assume that the interface fails before the logs fail. When a uniform tensile stress of 4 MPa is applied, the interface
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Open questionMEMCQ2 marksNeeds review
A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment
is applied at a distance of 100 mm from end P. The torsional reactions
in Nm at the ends P and Q respectively are
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Open questionMEMCQ2 marksNeeds review
A self-aligning ball bearing has a basic dynamic load rating (
, for
revolutions) of 35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in
revolutions) isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
In a cam-follower, the follower rises by
as the cam rotates by
(radians) at constant angular velocity
(radians/s). The follower is uniformly accelerating during the first half of the rise period and it is uniformly decelerating in the later half of the rise period. Assuming that the magnitudes of the acceleration and deceleration are same, the maximum velocity of the follower isYour answerChoose one option.
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A tank open at the top with a water level of 1 m, as shown in the figure, has a hole at a height of 0.5 m. A free jet leaves horizontally from the smooth hole. The distance X (in m) where the jet strikes the floor is
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Open questionMEMCQ2 marksNeeds review
A bimetallic cylindrical bar of cross sectional area 1 m
is made by bonding Steel (Young’s modulus = 210 GPa) and Aluminium (Young’s modulus = 70 GPa) as shown in the figure. To maintain tensile axial strain of magnitude
in Steel bar and compressive axial strain of magnitude
in Aluminium bar, the magnitude of the required force P (in kN) along the indicated direction is
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In a Lagrangian system, the position of a fluid particle in a flow is described as
and
where t is the time while
,
, and k are constants. The flow isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
Air flows at the rate of 1.5 m
/s through a horizontal pipe with a gradually reducing cross-section as shown in the figure. The two cross-sections of the pipe have diameters of 400 mm and 200 mm. Take the air density as 1.2 kg/m
and assume inviscid incompressible flow. The change in pressure
(in kPa) between sections 1 and 2 is
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The maximum reduction in cross-sectional area per pass (R) of a cold wire drawing process is
where n represents the strain hardening coefficient. For the case of a perfectly plastic material, R isYour answerChoose one option.
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The problem of maximizing
subject to constraints
,
,
and
hasYour answerChoose one option.
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