GATE ME exam:gate PYQs & Answers — Page 19

Questions 181–190 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 19 of 104

A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. The experiments show that the distance

travelled by the liquid meniscus inside the capillary in time

is given by

where

is the surface tension,

is the inner radius of the capillary, and

is the dynamic viscosity of the liquid. If

is a dimensionless constant, then the exponent

is ________ (rounded off to 1 decimal place).

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The Levi type-A train illustrated in the figure has gears with module

mm/tooth. Gears 2 and 3 have 19 and 24 teeth respectively. Gear 2 is fixed and internal gear 4 rotates at 20 rev/min counter-clockwise. The magnitude of angular velocity of the arm is ________ rev/min. (rounded off to 2 decimal places)

Diagram for Mechanical Engineering question 52

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A horizontal beam of length 1200 mm is pinned at the left end and is resting on a roller at the other end as shown in the figure. An linearly varying distributed load is applied on the beam. The magnitude of maximum bending moment acting on the beam is ________ N.m. (round off to 1 decimal place)

Diagram for Mechanical Engineering question 53

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At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate

rad/s. Pin P on link OD slides in the slot BC of link ABC which is hinged at A, and causes a clockwise rotation of the link ABC. The magnitude of angular velocity of link ABC for this instant is _________________ rad/s (rounded off to 2 decimal places).

Diagram for Mechanical Engineering question 54

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A vibratory system consists of mass

, a vertical spring of stiffness

and a horizontal spring of stiffness

. The end A of the horizontal spring is given a horizontal motion

. The other end of the spring is connected to an inextensible rope that passes over two massless pulleys as shown. Assume

kg,

kN/m, and neglect friction. The magnitude of critical driving frequency for which the oscillations of mass

tend to become excessively large is ________ rad/s (answer in integer).

Diagram for Mechanical Engineering question 55

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A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force

kN and a torque

N.m at the other end as shown. Assume that the axis of the cylinder is normal to the support. Considering distortion energy theory with allowable yield stress as 300 MPa, the factor of safety in the design is ____ (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 56

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The figure shows a thin cylindrical pressure vessel constructed by welding plates together along a line that makes an angle

with the horizontal. The closed vessel has a wall thickness of 10 mm and diameter

of 2 m. When subjected to an internal pressure of 200 kPa, the magnitude of the normal stress acting on the weld is ________ MPa (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 57

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A three-hinge arch ABC in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of

kN and

kN. Neglect friction at all the hinges. The magnitude of the horizontal reaction at B is ______ kN (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 58

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A band brake shown in the figure has a coefficient of friction of 0.3. The band can take a maximum force of 1.5 kN. The maximum braking force (F) that can be safely applied is ______ N (rounded off to the nearest integer).

Diagram for Mechanical Engineering question 59

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A cutting tool provides a tool life of 60 minutes while machining with the cutting speed of 60 m/min. When the same tool is used for machining the same material, it provides a tool life of 10 minutes for a cutting speed of 100 m/min. If the cutting speed is changed to 80 m/min for the same tool and work material combination, the tool life computed using Taylor’s tool life model is ____________ minutes (rounded off to 2 decimal places).

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GATE ME exam:gate PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60