Questions 11–20 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 2 of 104

Question 11

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Domain

is bounded by curve

, ordinate

, and

axis. The value of

is
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Question 12

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Let

be a scalar function. Then,

is
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Question 13

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The order and degree of the following differential equation are

and

, respectively.

The value of

is
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Question 14

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Newton-Raphson method for solving algebraic equations is based on
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Question 15

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The exact solution of

is represented as

. If

represents numerically evaluated value of the above integral using Trapezoidal rule by considering four equal subintervals in the range of

, then

is
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Question 16

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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/s

is
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Question 17

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A gear train with five gears is shown in the figure below. The number of teeth on each gear is

,

,

,

, and

. The idler gear in this gear train is
Diagram for Mechanical Engineering question 17

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Question 18

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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
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Question 19

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A closely coiled helical compression spring of mean coil diameter

and wire diameter

, is loaded by an axial force

.
The maximum shear stress developed in the wire is
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Question 20

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The rotor of an aeroplane engine has a mass moment of inertia 1.0 kg m

. 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
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