Mechanical Gate Subject

Mechanics Mechanical previous year questions with answer


Ques 1 GATE 2024

A ram in the form of a rectangular body of size l = 9 m and b = 2 m is suspended by two parallel ropes of lengths 7 m. Assume the center-of-mass of the body is at its geometric center and g = 9.81 m/s2. For striking the object P with a horizontal velocity of 5 m/s, what is the angle θ with the vertical from which the ram should be released from rest?

A

67.1 o

B

40.2 o

C

35.1 o

D

79.5 o



Ques 2 GATE 2024

A rigid massless tetrahedron is placed such that vertex O is at the origin and the other three vertices A, B, and C lie on the coordinate axes as shown in the figure. The body is acted on by three point loads, of which one is acting at A along x-axis and another at point B along y-axis. For the body to be in equilibrium, the third point load acting at point O must be

A

along z-axis

B

in x − y plane but not along or y

C

in y − z plane but not along y

D

in z − x plane but not along z or x axis



Ques 3 GATE 2024

A three-hinged arch ABC in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of P = 100 kN and Q = 50 kN. Neglect friction at all the hinges. The magnitude of the horizontal reaction at B is _______________ kN (rounded off to 1 decimal place).


62.5 is the correct answer.


Ques 4 GATE 2023

A spherical ball weighing 2 kg is dropped from a height of 4.9 m onto an immovable rigid block as shown in the figure. If the collision is perfectly elastic, what is the momentum vector of the ball (in kg m/s) just after impact?
Take the acceleration due to gravity to be g=9.8 m/s2. Options have been rounded off to one decimal place.

A

19.6 î

B

-19.6 î

C

17.0 î+9.8 ĵ

D

9.8 î+17.0 ĵ



Ques 5 Gate 2021 Set-2

Which of the following is responsible for eddy viscosity (or turbulent viscosity) in a turbulent boundary layer on a flat plate?

A

Nikuradse stresses

B

Reynolds stresses

C

Boussinesq stresses

D

Prandtl stresses



Ques 6 Gate 2020 Set-2

Which of the following conditions is used lo determine the stable equilibrium of all partially submerged floating bodies?

A

Centre of buoyancy must be below the centre of gravity

B

Metacentre must be at a higher level than the centre of gravity

C

Centre of buoyancy must be above the centre of gravity

D

Metacentre must be at a lower level than the centre of gravity



Ques 7 Gate 2020 Set-2

In the space above the mercury column in a barometer tube, the gauge pressure of the vapour is

A

zero

B

negative

C

positive, but less than one atmosphere

D

positive, but more than one atmosphere



Ques 8 Gate 2019 Set-1

A spur gear with 20° full depth teeth is transmitting 20 kW at 200 rad/s. The pitch circle diameter of the gear is 100 mm. The magnitude of the force applied on the gear in the radial direction is

A

0.36 kN

B

0.73 kN

C

1.39 kN

D

2.78 kN



Ques 9 Gate 2018 Set-2

Pre-tensioning of a bolted joint is used to

A

strain harden the bolt head

B

decrease stiffness of the bolted joint

C

increase stiffness of the bolted joint

D

prevent yielding of the thread root



Ques 10 GATE 2017 SET-2

The rod PQ of length L = √2 m, and uniformly distributed mass of M = 10 kg, is released from rest at the position shown in the figure. The ends slide along the frictionless faces OP and OQ. Assume acceleration due to gravity, g = 10 m/s2. The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML2/12). At this instant, the magnitude of angular acceleration (in radian/s2) of the rod is ________.


7.5 is the correct answer.