What topics are covered on Page 5 of GATE 2026 Mechanical Engineering questions?

Page 5 contains the final Questions 53 to 65. It covers Strength of Materials, pressure vessels, Coriolis acceleration, gear trains, vibration and damping, gyroscopic motion, natural frequency, rigid-body kinematics and Thermodynamics including ideal gases, the first and second laws, regenerative Rankine cycle, exergy and saturated water properties.

What is the Coriolis acceleration in the GATE 2026 Mechanical Engineering question?

For a disk rotating at 3 rad/s while the block moves radially at 0.2 m/s relative to the slot, the magnitude of Coriolis acceleration is 2.4 m/s².

What is the logarithmic decrement in the GATE 2026 vibration question?

The critical damping coefficient is 350 N s/m and the actual damping coefficient is 35 N s/m, giving the correct logarithmic decrement as 0.32.

What is the exergy rate of the hot liquid stream in GATE 2026 Mechanical?

For the liquid stream leaving the chemical plant at 250 degrees Celsius with ambient temperature 25 degrees Celsius and a flow rate of 100 LPM, the rate of exergy associated with the stream is 65.10 kW.

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Mechanical Engineering Gate 2026 Questions with Answer

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Ques 53 GATE 2026

A simply supported beam is subjected to an external point load P as shown in the figure below. The beam has a rectangular cross-section of 20 mm × 45 mm. A is a pin support and B is a roller support. The shear stress developed at point C, lying on the neutral axis of the beam, is 3 MPa. Neglecting the mass of the beam, the magnitude of the applied load is _______ kN (rounded off to 1 decimal place).

(5.4) is the correct answer.

Ques 54 GATE 2026

A cylindrical pressure vessel made of steel has diameter of 3 m and wall thickness of 15 mm. For steel, Young’s modulus and Poisson’s ratio are 210 GPa and 0.3, respectively. The cylinder is designed such that the allowable normal strain at the outer cylindrical surface is equal to 0.00034. The permissible pressure in the tank is ________ kPa (rounded off to 1 decimal place).

(685.4) is the correct answer.

Ques 55 GATE 2026

A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular velocity of 3 rad/s. If the block slides along the slot with a constant speed of 0.2 m/s relative to the slot, then the magnitude of Coriolis acceleration in m/s² is

1.2

0.6

2.4

0.3

Ques 56 GATE 2026

A gear train with five gears is shown in the figure below. The number of teeth on each gear is N₁, N₂, N₃, N₄, and N₅. The idler gear in this gear train is

gear 4

gear 2

gear 3

gear 1

Ques 57 GATE 2026

In a single degree of freedom vibrating system with only viscous damping, the critical damping coefficient is 350 N s/m and the damping coefficient is 35 N s/m.
The logarithmic decrement of the vibrating system is

0.63

1.26

0.32

1.89

Ques 58 GATE 2026

The rotor of an aeroplane engine has a mass moment of inertia 1.0 kg m². The engine rotates at a speed of 500 RPM in the clockwise direction if viewed from the front of the aeroplane. If the aeroplane while flying at 1200 km/hr turns with a radius of 2 km at same elevation, then the magnitude of the gyroscopic moment exerted by the rotor on the aeroplane structure in N m is

8.73

17.46

4.37

26.19

(a) is the correct answer.

Ques 59 GATE 2026

A 5 kg mass is suspended at the free end of an overhanging massless beam, having a pin support and a roller support, as shown in the figure below. Young’s modulus of the material of the beam is 200 GPa and area moment of inertia of the beam is 10⁻⁸ m⁴. The natural frequency of the beam in rad/s is

10/3

20/3

(a) is the correct answer.

Ques 60 GATE 2026

A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the downward direction at a given instant is 6 m/s. At that instant, the magnitude of absolute velocity of the midpoint G is ________ m/s (rounded off to 2 decimal places).

(6.00) is the correct answer.

Ques 61 GATE 2026

For an ideal gas, starting from state point 1, two different processes take place. The corresponding final states in these two processes are 2 and 3, lying on same isotherm. If P and h represent pressure and enthalpy, respectively, then which one of the following options is correct?

h₂ = h₃

h₂ > h₃

P₂h₃ = P₃h₂

P₃h₃ = P₂h₂

(a) is the correct answer.

Ques 62 GATE 2026

For the isothermal expansion of an ideal gas in a piston cylinder system, the net heat supplied during the process is equal to the net work. Which one of the following statements is correct for the given process?

The process is possible.

The process is not possible as it violates the second law of thermodynamics.

The process is not possible as it violates the first law of thermodynamics.

The process is possible, however, it violates the second law of thermodynamics.

(a) is the correct answer.

Ques 63 GATE 2026

For an ideal regenerative Rankine cycle, as shown in the figure below, which one of the following options is the correct representation of temperature-entropy (T-s) diagram?

Ques 64 GATE 2026

A liquid comes out of the reactor of a chemical plant at 250℃ temperature with a flow rate of 100 LPM. The ambient temperature is 25℃. Density and specific heat of the liquid remain constant at 1000 kg/m³ and 4.18 kJ/kg K, respectively, for the given range of temperature. The rate of exergy associated with the hot liquid stream at the exit of the plant is ________ kW (rounded off to 2 decimal places).

(65.10) is the correct answer.

Ques 65 GATE 2026

A rigid closed vertical cylindrical vessel of 15 cm diameter contains 5 kg water at 80℃ with 10% quality. The water is heated till its temperature reaches 130℃. Considering only a horizontal separated interface between liquid and vapor, the dip in the liquid level after the heating process is ________ cm (rounded off to 2 decimal places).
Properties of water at various saturation temperatures are given in the table below.

Temperature T (°C)	Specific volume		Specific internal energy
Temperature T (°C)	v_f (m³/kg)	v_g (m³/kg)	u_f (kJ/kg)	u_g (kJ/kg)
80	0.001029	3.4053	334.97	2481.60
130	0.001070	0.66808	546.10	2539.50

(25.68) is the correct answer.

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