UPSC ESE Prelims 2026 Mechanical Engineering Question Paper (08-Feb-2026)

Question 1

What is the centroid on the line of symmetry from the center distance of a quarter circle, if the radius is R?

Accepted Answer

$4R/3\pi$

Answer

$2R/3\pi$

Answer

$3R/2\pi$

Answer

$3R/4\pi$

Question 2

If a particle has an initial velocity of $V_0 = 12\ m/s$ to the right, at $S_0 = 0$, what is the position when $t = 10\ s$, if $a = 2\ m/s^2$ to the left?

Accepted Answer

20 m

Answer

15 m

Answer

25 m

Answer

30 m

Question 3

What is the extension '$\Delta$' for a uniformly tapering rod of length 'L' with diameter '$d_1$' at one end, to a diameter '$d_2$' at the other end when the member is subjected to an axial tensile load 'P' and the modulus of elasticity is E?

Accepted Answer

$4PL/\pi Ed_1d_2$

Answer

$4PE/ \pi Ld_1d_2$

Answer

$4Pd_1d_2/\pi EL$

Answer

$4EL/\pi Pd_1d_2$

Question 4

Consider the following statements regarding thermal stresses:1. If the temperature change is uniform throughout the body, the thermal strain is also uniform.2. If thermal deformation is permitted to occur freely, no internal forces will be induced in the body, and there will be no strain and no stress.3. If the deformation of a body is restricted, either totally or partially, internal forces will develop that oppose the thermal expansion or contraction. The stresses caused by these internal forces are known as thermal stresses.Which of the above statements are correct?

Accepted Answer

1 and 3 only

Answer

1 and 2 only

Answer

2 and 3 only

Answer

1, 2 and 3

Question 5

The bending moment that tends to bend the beam to produce convexity above the centre line is known as:

Accepted Answer

Hogging bending moment

Answer

Sagging bending moment

Answer

Twisting bending moment

Answer

Pure bending moment

UPSC ESE Prelims 2026 Mechanical Engineering Question Paper (08-Feb-2026)

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