GATE PI topic:theory-machines-design PYQs & Answers

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Questions 1–10 of 19. Imported answers require independent review unless marked reviewed.

Topic practice 19 questionsPage 1 of 2

An engineering student is fabricating a setup and needs a key for connecting a shaft to the hub of a rotating machine element. The student uses a sunk key which is tapered and prevents relative axial motion.

Which ONE of the following keys did the student most likely use?

Your answerChoose one option.

Saddle key

Woodruff key

Feather key

Gib-head key

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A custom pinion, with a width equal to 10 times the module, has 20 full depth teeth and a pressure angle of 20° is being designed. It should transmit a torque of 95 N-m to a corresponding spur gear.

Considering the safe bending stress to be 180 MPa and form factor to be 0.32, the module of the pinion is _____ mm (rounded off to one decimal place).

Note: The Lewis equation gives the tangential force as

, where

is the safe bending stress,

the width,

the form factor, and

the module.

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A link OA of length 200 mm is rotating counter clockwise about O in x-y plane with a constant angular velocity of 100 rad/s, as shown in the figure. The absolute value of the x-component of the linear velocity (in m/s) of point A at the instant shown in the figure is________. (Rounded off to one decimal place)

Diagram for Production and Industrial Engineering question 55

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An offset slider-crank mechanism is shown in the figure. If the length

cm, then the stroke length (in cm) of the slider is ________ . (Rounded off to 1 decimal place)

Diagram for Production and Industrial Engineering question 34

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A flat belt drive with pulley of

cm radius is designed to transmit 6.283 kW power at 600 RPM. In the figure,

is the corresponding torque. If the coefficient of static friction between the belt and the pulley is 0.3, then the minimum value of the tightening force

(in kN) required to prevent the belt slip is ________. (Rounded off to 2 decimal places)

Diagram for Production and Industrial Engineering question 51

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A solid circular disk of 0.025 m thicknes is used as flywheel. The density of the disk material is 7800 kg/m

and the mass moment of inertia of the disk about its center is 4.36 kg-m

. The radius, in m, of the disk is _____(round off to 2 decimal places).

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A key of width and height of 6 mm each is used to fix a gear on a shaft of 20 mm diameter. The shaft is used to transmit 10 kW power at 600 rpm to the gear. Permissible shear stress in the key is 80 N/mm², while compressive stress in the key is neglected. The minimum length of the key, in mm, is _____ (round off to 2 decimal places).

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A pair of spur gears is designed to transmit 20 kW power at a pitch line velocity of 10 m/s. Diameter of the driving gear is 0.5 m. The tangential force, in N, between the driver and the driven gear is _____(in integer).

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In a slider crank mechanism (schematic shown in the figure), the crank rotates at 60 revolutions per minute. The radius of the crank is 30 mm and the length of the connecting rod is 120 mm. The average speed (in mm/s) of the piston over one revolution of the crank is____________. [round off to nearest integer]

Diagram for Production and Industrial Engineering question 26

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A shaft is used to transmit a power of 10 kW. The shear yield stress of the material is 150 MPa and factor of safety is 2. The shaft rotates at 1440 revolutions per minute. The diameter of the shaft (in mm) based on static strength is____________. [round off to two decimal places]

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GATE PI topic:theory-machines-design PYQs

How to practice topic:theory-machines-design

Question 20

Question 56

Question 55

Question 34

Question 51

Question 28

Question 62

Question 64

Question 26

Question 47