Engineering Sciences
GATE XE topic:solid-mechanics PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 133. Imported answers require independent review unless marked reviewed.
Question 16
Open questionXE-DNAT2 marksNeeds review
A rigid circular disc of radius 0.2 m and mass 10 kg rolls without slip on the ground at A. The coefficient of static friction
between ground and disc is 0.7. A torque
of 9 Nm acts on the disc as shown. Given acceleration due to gravity
. The friction force (in N) acting on the disc (in integer) is
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Open questionXE-DNAT2 marksNeeds review
A prismatic solid circular rod of diameter
is bent to introduce an offset
as shown. The rod is further subjected to an axial load
. If the maximum longitudinal stress at a section A-B in the rod (with offset) is
times the longitudinal stress in the straight rod, the value of
(in integer) would be
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Open questionXE-DNAT2 marksNeeds review
A naturally curved steel beam AB having Young’s modulus 208 GPa, area moment of inertia
and radius
is subjected to a vertical load
at B. The end A at
is rigidly fixed. The bending strain energy of the beam (in Nm, rounded off to two decimal places) is
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Open questionXE-DNAT2 marksNeeds review
At room temperature of 25°C, a gap of 1 mm exists between the ends of the rods 1 and 2 as shown. Given the cross section area A of the rods is 1500 mm², Young’s modulus E = 75 GPa and the coefficient of thermal expansion
. When the temperature has reached 150°C, the magnitude of normal stress in each of the rods (in MPa, rounded off to two decimal places) is
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Open questionXE-DNAT2 marksNeeds review
A tube of inner radius 4 cm and outer radius 5 cm can carry a maximum torque of T. This tube is now replaced by a solid circular shaft of the same material. The minimum radius of the solid circular shaft (in cm, rounded off to two decimal places) to carry the same amount of torque T is
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Open questionXE-DNAT2 marksNeeds review
A coronavirus droplet of mass 1 microgram ejects from the mouth of a patient with a velocity of 0.7 m/s and travels through air. The gravitational force experienced by it can be neglected due to the buoyancy effect. However, the droplet experiences air drag force proportional to its velocity and the drag coefficient is given as 1.0 μN·s/m. The distance travelled by the droplet before its velocity drops to 10% of its initial value (in m, rounded off to two decimal places) is
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Open questionXE-DMCQ1 markNeeds review
Consider an isotropic material with Young’s modulus E and Poisson’s ratio ν. The bulk modulus of this material is given by ______.
Your answerChoose one option.
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Open questionXE-DMCQ1 markNeeds review
A body subjected to _____ does not undergo change in volume.
Your answerChoose one option.
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Open questionXE-DMCQ1 markNeeds review
According to Euler-Bernoulli beam theory, which one of the following statements best describes the state of a beam subjected to pure bending?
Your answerChoose one option.
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Open questionXE-DNAT1 markNeeds review
The state of two-dimensional plane stress at a point in a body is shown on the triangular element ABC, where
and
. The normal stress (in MPa) on the plane AC is _____. 
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