Mechanical Engineering
GATE ME branch:me PYQs
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Questions 741–750 of 1040. Imported answers require independent review unless marked reviewed.
Question 36
Open questionMEMCQ2 marksNeeds review
A circular shaft having diameter
mm is manufactured by turning process. A 50 μm thick coating of TiN is deposited on the shaft. Allowed variation in TiN film thickness is ± 5 μm. The minimum hole diameter (in mm) to just provide clearance fit isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity
, as shown.

Assume the length of the crank to be
.Using exact analysis, the acceleration of the slider in the
-direction, at the instant shown, where the crank is parallel to
-axis, is given byYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
Match the following sand mold cast defects with their respective causes.
| Defect | | Cause |
|---|---|---|---|
P | Blow hole | 1 | Poor collapsibility |
Q | Misrun | 2 | Mold erosion |
R | Hot tearing | 3 | Poor permeability |
S | Wash | 4 | Insufficient fluidity |
Your answerChoose one option.
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Open questionMENAT2 marksNeeds review
A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity
is subjected to an applied moment
at the free end as shown in the figure.

The magnitude of the vertical deflection of the free end is ______ mm (round off to one decimal place).
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Open questionMENAT2 marksNeeds review
A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of 10 kN is applied at point D. The magnitude of force (in kN) in the member BC is

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Open questionMENAT2 marksNeeds review
Two masses
and
having mass
and
, respectively, lying in the plane of the figure shown, are rigidly attached to a shaft which revolves about an axis through O perpendicular to the plane of the figure. The radii of rotation of the masses
and
are
and
, respectively. The angle between lines OA and OB is 90°. If
,
,
and
, then the balance mass to be placed at a radius of 200 mm is ______ kg (round off to two decimal places).

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Open questionMENAT2 marksNeeds review
Consider an elastic straight beam of length
m, with square cross-section of side
mm, and Young’s modulus
GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius
. Assuming that Euler-Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is ______ MPa.

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Open questionMENAT2 marksNeeds review
A four bar mechanism is shown in the figure. The link numbers are mentioned near the links. Input link 2 is rotating anticlockwise with a constant angular speed
. Length of different links are:
The magnitude of the angular speed of the output link 4 is
at the instant when link 2 makes an angle of 90° with
as shown. The ratio
is ______ (round off to two decimal places).

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Open questionMENAT2 marksNeeds review
Consider a prismatic straight beam of length
m, pinned at the two ends as shown in the figure.

The beam has a square cross-section of side
mm. The Young’s modulus
GPa, and the coefficient of thermal expansion
. The minimum temperature rise required to cause Euler buckling of the beam is ______ K.Log in to check the answer
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Open questionMENAT2 marksNeeds review
The probability that a part manufactured by a company will be defective is 0.05. If 15 such parts are selected randomly and inspected, then the probability that at least two parts will be defective is ______ (round off to two decimal places).
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