Mechanical Engineering
GATE ME topic:mechanical-engineering PYQs
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Questions 291–300 of 1040. Imported answers require independent review unless marked reviewed.
Question 16
Open questionMEMCQ1 markNeeds review
A uniform light slender beam AB of section modulus
is pinned by a frictionless joint A to the ground and supported by a light inextensible cable CB to hang a weight
as shown. If the maximum value of
to avoid buckling of the beam AB is obtained as
, where
is the ratio of circumference to diameter of a circle, then the value of
is
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Which one of the following is the definition of ultimate tensile strength (UTS) obtained from a stress-strain test on a metal specimen?
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The figure shows a schematic of a simple Watt governor mechanism with the spindle O
O
rotating at an angular velocity
about a vertical axis. The balls at P and S have equal mass. Assume that there is no friction anywhere and all other components are massless and rigid. The vertical distance between the horizontal plane of rotation of the balls and the pivot O
is denoted by
. The value of
mm at a certain
. If
is doubled, the value of
will be ________ mm.
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A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and
is the acceleration due to gravity. The disc is then given a rapid spin
about its axis in the positive x-axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE will 
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A square threaded screw is used to lift a load
by applying a force
. Efficiency of square threaded screw is expressed asYour answerChoose one option.
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A structural member under loading has a uniform state of plane stress which in usual notations is given by
,
and
, where
. The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of
at which yielding starts (according to the maximum distortion energy theory) isYour answerChoose one option.
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A CNC worktable is driven in a linear direction by a lead screw connected directly to a stepper motor. The pitch of the lead screw is 5 mm. The stepper motor completes one full revolution upon receiving 600 pulses. If the worktable speed is 5 m/minute and there is no missed pulse, then the pulse rate being received by the stepper motor is
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Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components A and B is shown in the figure with its eutectic composition and temperature. All the lines in this phase diagram, including the solids and liquids lines, are straight lines. If this binary alloy with 15 weight % of B is poured into a mould at a pouring temperature of 800 °C, then the solidification range is
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The type of fit between a mating shaft of diameter
mm and a hole of diameter
mm is __________.Your answerChoose one option.
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Open questionMEMCQ1 markNeeds review
A shaft of diameter
mm is assembled in a hole of diameter
mm. Match the allowance and limit parameter in Column I with its corresponding quantitative value in Column II for this shaft-hole assembly.Column I: Allowance and limit parameter | Column II: Quantitative value |
|---|---|
P — Allowance | 1 — 0.09 mm |
Q — Maximum clearance | 2 — 24.96 mm |
R — Maximum material limit for hole | 3 — 0.04 mm |
| 4 — 25.0 mm |
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