GATE XE purpose:exam-prep PYQs & Answers — Page 115

Questions 1141–1150 of 1772. Imported answers require independent review unless marked reviewed.

The angular momentum of a particle moving under a central force is

Your answerChoose one option.

zero.

constant in both magnitude and direction.

constant in magnitude but not direction.

constant in direction but not magnitude.

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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.

Transverse shear stress and transverse shear strain are zero.

Transverse shear stress is not zero but transverse shear strain is zero.

Transverse shear stress is zero but transverse shear strain is not zero.

Transverse shear stress and transverse shear strain are not zero.

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A rigid square ABCD is subjected to planar forces at the corners as shown. For this planar force system, the equivalent force couple system at corner A can be represented as

Diagram for Engineering Sciences question 6

Your answerChoose one option.

System I

Diagram for Engineering Sciences question 6 (figure 2)

System II

Diagram for Engineering Sciences question 6 (figure 3)

System III

Diagram for Engineering Sciences question 6 (figure 4)

System IV

Diagram for Engineering Sciences question 6 (figure 5)

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A particle of mass 0.1 kg, which is released from rest, falls vertically downward under gravity in a fluid. The fluid offers a resistive force, which is linearly proportional to the particle velocity with 0.1 N.s/m as the constant of proportionality. The uniform gravitational acceleration is 10 m/s

throughout the trajectory of the particle. The magnitude of the particle velocity (in m/s) at time 1 s after release (rounded off to two decimal places) is _____.

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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 _____.

Diagram for Engineering Sciences question 8

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Consider two point masses

kg and

kg connected by a massless inextensible string passing over a massless and frictionless pulley with radius

mm as shown. The masses are released from rest and move vertically under the action of gravity. Let acceleration due to gravity,

m/s

. The tension (in N) in the string is _____.

Diagram for Engineering Sciences question 9

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The cantilever beam AC is composed of two segments AB and BC that are rigidly connected at B. The flexural rigidity of the segment AB is

, whereas the flexural rigidity of the segment BC is assumed to be infinite. Determine the magnitude of slope at B due to a force

applied at C.

Diagram for Engineering Sciences question 10

Your answerChoose one option.

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Determine the correctness or otherwise of the following Assertion [a] and Reason [r].

Assertion [a]: Efficient columns are designed so that most of the column’s cross-sectional area is located as far away as possible from the principal centroidal axes of the section.

Reason [r]: Load carrying capacity of columns will increase as the moment of inertia of the cross-section increases.

Your answerChoose one option.

Both [a] and [r] are true and [r] is the correct reason for [a].

Both [a] and [r] are true but [r] is not the correct reason for [a].

Both [a] and [r] are false.

[a] is true but [r] is false.

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Consider the structure consisting of two massless elastic bars AB and BC, each of length

, cross-sectional area

, and Young’s modulus

. Connections at A, B, C are all pinned. A horizontal force

acts on the joint B as shown. Calculate the horizontal deflection of the joint B.

Diagram for Engineering Sciences question 12

Your answerChoose one option.

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A rigid bar ABC of mass

and length

is hinged at A and has a point mass

attached at C. An elastic spring with linear stiffness

is attached at B as shown. Ignore the effect of gravity and damping. The natural frequency of small oscillations of this system is _____.

Diagram for Engineering Sciences question 13

Your answerChoose one option.

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GATE XE purpose:exam-prep PYQs

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Question 12

Question 13