Mechanical Engineering GATE 2022 Set-2 Questions with Answer

Ques 1 Aptitude

Writing too many things on the ________ while teaching could make the students get _________.

Ques 2 Aptitude

A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above information?

Ques 3 Aptitude

Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black pigment results in lower collagen on their skin, making their skin more fragile.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

Ques 4 Aptitude

For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 units changes the average to 110 units per day, what is the value of m?

Ques 5 Dynamics

A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and 𝑔 is the acceleration due to gravity. The disc is then given a rapid spin 𝜔 about its axis in the positive x axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string A

Ques 6 Dynamics

A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow slots and having equal weight of 20 N each can be placed on the platforms. The number of discs placed on the left side platform is 𝑛 and that on the right side platform is 𝑚.
It is found that for 𝑛=5 and 𝑚=0, a force 𝐹= 200 N (refer to part (i) of the figure) is just sufficient to initiate upward motion of the left side platform. If the force 𝐹 is removed then the minimum value of 𝑚 (refer to part (ii) of the figure) required to prevent downward motion of the left side platform is______ (in integer).

Ques 7 Dynamics

For a dynamical system governed by the equation,

mẍ(t) + 2ζω_nẋ(t) + ω_n²x(t) = 0,

the damping ratio ζ is equal to (1 / 2π) log_e 2. The displacement x of this system is measured during a hammer test. A displacement peak in the positive displacement direction is measured to be 4 mm. Neglecting higher powers (>1) of the damping ratio, the displacement at the next peak in the positive direction will be ___________ mm (in integer).

Ques 8 Dynamics

A rigid homogeneous uniform block of mass 1 kg, height h = 0.4 m and width b = 0.3 m is pinned at one corner and placed upright in a uniform gravitational field (g = 9.81 m/s²), supported by a roller in the configuration shown in the figure. A short duration (impulsive) force 𝐹, producing an impulse 𝐼_F, is applied at a height of 𝑑=0.3 m from the bottom as shown. Assume all joints to be frictionless. The minimum value of 𝐼_F required to topple the block is

Ques 9 Dynamics

A rigid body in the X-Y plane consists of two point masses (1 kg each) attached to the ends of two massless rods, each of 1 cm length, as shown in the figure. It rotates at 30 RPM counter-clockwise about the Z-axis passing through point O. A point mass of √2 kg, attached to one end of a third massless rod, is used for balancing the body by attaching the free end of the rod to point O. The length of the third rod is ________ cm.

Ques 10 Dynamics

A spring mass damper system (mass m, stiffness k, and damping coefficient c) excited by a force 𝐹(𝑡)=𝐵sin𝜔𝑡, where 𝐵, 𝜔 and 𝑡 are the amplitude, frequency and time, respectively, is shown in the figure. Four different responses of the system (marked as (i) to (iv)) are shown just to the right of the system figure. In the figures of the responses, 𝐴 is the amplitude of response shown in red color and the dashed lines indicate its envelope. The responses represent only the qualitative trend and those are not drawn to any specific scale.

Ques 11 Dynamics

A rigid tank of volume of 8 m³ is being filled up with air from a pipeline connected through a valve. Initially the valve is closed and the tank is assumed to be completely evacuated. The air pressure and temperature inside the pipeline are maintained at 600 kPa and 306 K, respectively. The filling of the tank begins by opening the valve and the process ends when the tank pressure is equal to the pipeline pressure. During the filling process, heat loss to the surrounding is 1000 kJ. The specific heats of air at constant pressure and at constant volume are 1.005 kJ/kg⋅K and 0.718 kJ/kg⋅K, respectively. Neglect changes in kinetic energy and potential energy.
The final temperature of the tank after the completion of the filling process is _________ K (round off to the nearest integer).

Ques 12 Fluid Mechanics

Consider a steady flow through a horizontal divergent channel, with supersonic flow at the inlet. The direction of flow is from left to right.

Ques 13 Fluid Mechanics

The velocity field in a fluid is given to be . Which of the following statement(s) is/are correct?