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GATE 2019: Theory of Machines Rapid Quiz-2 (App update required to attempt this test)

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Question 1

An unknown mass m is attached to one end of a spring of stiffness k having natural frequency of 6Hz. When 1 kg mass is attached with m the natural frequency of the system is lowered by 20%. Determine the value of unknown mass m and stiffness k (in kg and N/m respectively.)

Question 2

Equation of damping vibration is given

find the natural frequency (Hz) of damped vibration

Question 3

Cam mechanism is used in various machines to obtain complicated motions needed. Thus such mechanism are used in;

Question 4

If mass of a link is 4.5 kg/m. A horizontal engine running at 160 rpm and has a bore of 440mm and 400mm. The crank has turned through an angle of 30 °. Determine the torque generated by the engine.

Question 5

For a vibration system, equation of motion is given as

The value of frequency of damped vibration is __________ (in rad/s).

Question 6

A single degree of freedom system has a mass of 2 kg, stiffness of 8 N/m and viscous damping ratio 0.02. The amplitude of oscillation at steady state response comes out to be 5 cm. The dynamic magnification factor at an excitation frequency of 1.5 rad/s is __________.

Question 7

Observe the following figure, a portion of gear teeth.The backlash for the gear in mm will be
$Description: Description: 01_Tom-vibration_BLok_files\image073.png$

Question 8

An automobile of weight W is shown in figure. A pull ‘P’ is applied as shown. The reaction at the front wheels (location A) is
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Question 9

A compacting machine shown in the figure below is used to create a desired thrust force by using a rack and pinion arrangement. The input gear is mounted on the motor shaft. The gears have involutes teeth of 2 mm module.
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image334.png$

If the drive efficiency is 80%, the torque required on the input shaft to create 1000 N output thrust is

Question 10

For an inline slider-crank mechanism, the lengths of the crank and connecting rod are 3m and 4m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is 1m/s, the magnitude of angular velocity (upto 3 decimal points accuracy) of the crank is _________ radian/s.

Question 11

A mass spring dashpot system with mass m = 10kg, spring constant k=6250 N/m is excited by a harmonic excitation of 10cos(25t). At steady condition, the vibration amplitude of the mass is 40 mm. The damping coefficient (c, in Ns/m) of the dashpot will be

Question 12

For a vibration system, equation of motion is given as

The value of frequency of damped vibration is __________ (in rad/s).

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ESE & GATE ME Theory of Machines & Vibrations

Mar 26ESE & GATE ME