GATE MN Engineering Mechanics PYQs & Answers — Page 3

Questions 21–30 of 31. Imported answers require independent review unless marked reviewed.

A cylindrical sample of cross-sectional area

, length

, and Young’s Modulus

, is subjected to a constant uniaxial load

. Within the elastic limit of loading, the total strain energy stored is

Your answerChoose one option.

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A steel cube of side 50 mm is subjected to a uniform pressure of 200 MPa acting on each face. The Young’s modulus and Poisson’s ratio of the material are 200 GPa and 0.25, respectively. The decrease in the side of the cube in mm is ________ (round off to 3 decimal places).

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In the figure shown below, the friction coefficient between the block and the inclined plane is 0.2, and all the pulleys are weightless. The weight of the block is 10 N. The minimum force P in Newtons that is needed to slide the block up the inclined plane is ________ (round off to 2 decimal places).

Diagram for Mining Engineering question 52

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The vector sum of all the external forces acting on a rigid body is expressed as

and the vector sum of moments of the external forces about a point is given as

. The rigid body is in equilibrium if

Your answerChoose one option.

and

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From an elevated point A, when a stone is thrown vertically, it attains an upward velocity of

at a height of

from the point A. While falling, its downward velocity becomes

at a distance

below the point A. The maximum height attained by the stone from point A is

Your answerChoose one option.

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A rock block of mass 100 kg is to be lifted by a horizontal force P as shown in the figure below.

Diagram for Mining Engineering question 53

Smooth rollers are placed between the wedges. The coefficient of static friction between wedge A and surface C and between wedge B and surface D is 0.3. Ignoring the weight of the wedges and the friction between the roller and the wedges, the minimum force P in kg required to lift the block (round off to one decimal place) is _____.

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A force diagram is shown below. Considering clockwise moments to be positive, the resultant moment about A in Nm is ________________.

Diagram for Mining Engineering question 44

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If only two members form a truss joint and no external load or support reaction is applied to the joint, the members

Your answerChoose one option.

have infinite force

have equal but opposite force

are zero-force members

have unequal forces

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The beam shown in the figure is hinged at one end and rested on a roller at the other end. The free body diagram of the system is

Diagram for Mining Engineering question 9

Your answerChoose one option.

Diagram for Mining Engineering question 9 (figure 2)

Diagram for Mining Engineering question 9 (figure 3)

Diagram for Mining Engineering question 9 (figure 4)

Diagram for Mining Engineering question 9 (figure 5)

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A blasted muck of mass

is being lifted from a shaft of diameter

by an arrangement of two pulleys as shown in the figure. Ignoring friction in the pulleys, as the height

decreases, tension in the ropes

Diagram for Mining Engineering question 41

Your answerChoose one option.

increases

decreases

remains constant

increases until

, then decreases

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GATE MN Engineering Mechanics PYQs

Question 33

Question 51

Question 52

Question 7

Question 26

Question 53

Question 44

Question 6

Question 9

Question 41