Mining Engineering
GATE MN topic:engineering-mechanics PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 31. Imported answers require independent review unless marked reviewed.
Question 10
Open questionGAMCQ2 marksNeeds review
Consider a spherical globe rotating about an axis passing through its poles. There are three points
,
, and
situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let
,
, and
move with speeds
,
, and
, respectively.Which one of the following options is CORRECT?
Your answerChoose one option.
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Open questionMNMCQ1 markNeeds review
Given two vectors
and
, the magnitude of projection of
along
isYour answerChoose one option.
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Open questionMNNAT1 markNeeds review
A punch hole of diameter 10 mm is to be made in a 5 mm thick rock plate as shown. If the yield strength of rock plate is 25 MPa, the punch force P required in kN is _____.
[rounded off to 1 decimal place]
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Open questionMNNAT2 marksNeeds review
A dozer pushes up a 100 kg spool of cable along a 20° incline road at a constant velocity as shown in the figure. The coefficient of static friction between the dozer bucket and the spool (Point B) is 0.45, and coefficient of kinetic friction between road and the spool (Point A) is 0.15.
Consider the spool only slides up the incline. The maximum normal force in N acting at Point B, is _____.
[rounded off to 1 decimal place]
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Open questionMNNAT2 marksNeeds review
An unmanned aerial vehicle (UAV) with payload of 2 kg reaches vertically 100 m in 10 s at uniform velocity. The self-weight of the UAV is 1.2 kg. The power required in lifting in kW is _____.
[rounded off to 2 decimal places]
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Open questionMNMCQ1 markNeeds review
In the truss shown in the figure, the force in the member BD, in kN is______.
Your answerChoose one option.
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Open questionMNNAT2 marksNeeds review
Two weightless cables of equal length and cross sectional area are hanging from a ceiling as shown in the figure. They are connected by a horizontal bar of length 1.0 m and pulled by a force, F. The modulus of elasticity of Cable-1 and Cable-2 are 50 GPa and 200 GPa, respectively. If the deformation in both the cables is equal, the distance x, in m is ______. (round off to one decimal place)
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Open questionMNNAT1 markNeeds review
A vehicle is moving at a speed of 12 m/s on a level road. It applies emergency brakes and starts to skid without rolling in a straight path. The deceleration of the vehicle is constant after braking and it comes to rest at a distance of 15 m. Assuming,
m/s², the coefficient of kinetic friction between the tyres and road is ________. [round off to 2 decimal places]Log in to check the answer
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Open questionMNNAT2 marksNeeds review
A triangular distributed load is applied on top of a beam as shown in the figure.
The value of maximum bending moment in kN-m is ______. [round off to 2 decimal places]
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Open questionMNNAT2 marksNeeds review
A set of three steel bars of equal cross-sectional area of 0.01 m² are loaded, as shown in the figure. The elastic modulus of steel is 200 GPa. The overall change of length of the complete set of bars, in mm, is ______. [round off to 3 decimal places]
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