GATE XE topic:engineering PYQs & Answers — Page 8

Questions 71–80 of 1772. Imported answers require independent review unless marked reviewed.

A car is moving on a horizontal surface in a straight line with a constant velocity of 3 m/s. A ball is thrown vertically upwards at time

from the top of the moving car with a velocity of 20 m/s. The acceleration due to gravity is 10 m/s

At what value(s) of time

in second(s), the ball is at a height of 15 m from the top of the moving car?

Your answerSelect all correct options. You can choose more than one.

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A cart of weight (

) 5 kN, stands on an inclined smooth surface at an angle (

) of 45° as shown in the figure. The cart is maintained in equilibrium by a horizontal force F acting at point S.

The value of F is _____ kN (in integer).

Diagram for Engineering Sciences question 72

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A 2D state of stress at a point in a body is given by

MPa,

MPa and

MPa.

The radius of the Mohr’s circle for the given state of stress is _____ MPa (rounded off to two decimal places).

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Sum of the principal stresses of a 2D stress state

is _____ (in integer).

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The force (F) acting on the block, as shown in the figure is 2 N. The stiffness of the spring (k) is 100 N/m.

Assume that the block is in static equilibrium and its mass is negligible.

If the static deflection of the spring (

) is 0.01 m, which one of the following is the corresponding angle (

) in radians?

Diagram for Engineering Sciences question 75

Your answerChoose one option.

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Which one of the following options is the CORRECT absolute value of the bending moment at R in the frame as shown in the figure?

Diagram for Engineering Sciences question 76

Your answerChoose one option.

2Fl

3Fl

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One column with square cross section of side

and another column with rectangular cross section of breadth

and width

(

) are made from the same material. Both the columns have one end fixed, and the other end is free. They are subjected to axial loads along the centroidal axis.

Consider the area of cross sections of both the columns to be the same. The minimum critical Euler buckling loads of the columns with rectangular and square cross-sections are

and

, respectively.

Then

is _____.

Your answerChoose one option.

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Two prismatic rods of identical lengths are designed for the same strain energy density when subjected to the same axial load. One of the rods is made of steel (Young’s modulus = 210 GPa) and the other is made of aluminum (Young’s modulus = 70 GPa).

If the diameter of the aluminum rod is 70 mm, then which one of the following options corresponds to the diameter of the steel rod in mm?

Your answerChoose one option.

53.19