GATE ME branch:me PYQs & Answers — Page 45

Questions 441–450 of 1040. Imported answers require independent review unless marked reviewed.

Consider a reciprocating engine with crank radius

and connecting rod of length

. The secondary unbalance force for this case is equivalent to primary unbalance force due to a virtual crank of ______

Your answerChoose one option.

radius

rotating at half the engine speed

radius

rotating at half the engine speed

radius

rotating at twice the engine speed

radius

rotating at twice the engine speed

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The controlling force curves P, Q and R for a spring controlled governor are shown in the figure, where

and

are any two radii of rotation.

Diagram for Mechanical Engineering question 16

The characteristics shown by the curves are

Your answerChoose one option.

P – Unstable; Q – Stable; R – Isochronous

P – Unstable; Q – Isochronous; R – Stable

P – Stable; Q – Isochronous; R – Unstable

P – Stable; Q – Unstable; R – Isochronous

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A cantilever beam of length,

, and flexural rigidity,

, is subjected to an end moment,

, as shown in the figure. The deflection of the beam at

Diagram for Mechanical Engineering question 17

Your answerChoose one option.

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The von Mises stress at a point in a body subjected to forces is proportional to the square root of the

Your answerChoose one option.

total strain energy per unit volume

plastic strain energy per unit volume

dilatational strain energy per unit volume

distortional strain energy per unit volume

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A prismatic bar

is subjected to axial loads as shown in the figure. The segments having maximum and minimum axial stresses, respectively, are

Diagram for Mechanical Engineering question 18

Your answerChoose one option.

and

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Value of

using Simpson’s one-third rule with interval size 0.3 is

Your answerChoose one option.

1.83

1.60

1.51

1.06

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Shear stress distribution on the cross-section of the coil wire in a helical compression spring is shown in the figure. This shear stress distribution represents

Diagram for Mechanical Engineering question 19

Your answerChoose one option.

direct shear stress in the coil wire cross-section

torsional shear stress in the coil wire cross-section

combined direct shear and torsional shear stress in the coil wire cross-section

combined direct shear and torsional shear stress along with the effect of stress concentration at inside edge of the coil wire cross-section

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Value of

, where

, is equal to

Your answerChoose one option.

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Robot Ltd. wishes to maintain enough safety stock during the lead time period between starting a new production run and its completion such that the probability of satisfying the customer demand during the lead time period is 95%. The lead time period is 5 days and daily customer demand can be assumed to follow the Gaussian (normal) distribution with mean 50 units and a standard deviation of 10 units. Using

, where

represents the cumulative distribution function of the standard normal random variable, the amount of safety stock that must be maintained by Robot Ltd. to achieve this demand fulfilment probability for the lead time period is ______ units (round off to two decimal places).

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Consider adiabatic flow of air through a duct. At a given point in the duct, velocity of air is 300 m/s, temperature is 330 K and pressure is 180 kPa. Assume that the air behaves as a perfect gas with constant

kJ/kg.K. The stagnation temperature at this point is ______ K (round off to two decimal places).

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GATE ME branch:me PYQs

Question 16

Question 16

Question 17

Question 17

Question 18

Question 18

Question 19

Question 19

Question 20

Question 20