GATE PI branch:pi PYQs & Answers — Page 59

Questions 581–590 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 59 of 65

The worktable in a CNC machine is driven by a leadscrew with a pitch of 2 mm. The leadscrew is directly coupled to a stepper motor of step angle 1.8°. The number of pulses required to move the worktable by 50 mm is _____

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During orthogonal machining of a job at a cutting speed of 90 m/min with a tool of 10° rake angle, the cutting force and thrust force are 750 N and 390 N, respectively. Assume a shear angle of 35°. The power (in W) expended for shear along the shear plane is _____

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In an electrochemical machining of aluminium with plane parallel electrodes, the current density is 70 A/cm

. Cross-sectional area of each electrode is 3 cm

. The current efficiency (i.e., the fraction of current used for dissolution of metal) is 80%. Gram atomic weight, valency and density of aluminium are 27 gram, 3 and 2700 kg/m

, respectively. Take Faraday’s constant as 96500 Coulomb. The volumetric material removal rate (in mm

/min) is _____

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Two metallic sheets are spot welded by passing a current of 8000 A for 0.2 s. Assume that a cylindrical nugget of 8 mm diameter and 3 mm depth is formed. The density of the nugget is 7500 kg/m

, effective resistance of the total system is 222 micro-Ohm and heat required to produce 1.0 gram of nugget is 1400 J. The percentage of heat actually utilized in producing the nugget is _____

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In a planar 2-degree-of-freedom robot, Link 1 of 30 cm length is connected to base by a revolute joint and Link 2 of length 20 cm is connected to Link 1 with a revolute joint as shown in the figure. The work-envelope area (in cm

), covered by point P, is _____

Diagram for Production and Industrial Engineering question 55

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Divergence of the curl of a twice differentiable continuous vector function is

Your answerChoose one option.

unity

infinity

zero

a unit vector

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For two non-zero vectors

and

, if

is perpendicular to

, then

Your answerChoose one option.

the magnitude of

is twice the magnitude of

the magnitude of

is half the magnitude of

and

cannot be orthogonal

the magnitudes of

and

are equal

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For an orthogonal matrix

, the valid equality is

Your answerChoose one option.

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The product of a complex number

and its complex conjugate

Your answerChoose one option.

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Using Simpson’s

rule for numerical integration, the consecutive points are joined by a

Your answerChoose one option.

line

parabola

polynomial with power 3

polynomial with power 1/3

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GATE PI branch:pi PYQs

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