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ISRO ME 2019 THEORY OF MACHINES 3

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Question 1

A fixed gear having 200 teeth is in mesh with another gear having 50 teeth. The two gear are connected by an arm. The number of turns made by smaller gear for one revolution of arm about the centre of the bigger gear is _____.

Question 2

A four-bar mechanism O2O4BC is shown in the figure with O2O4=300mm, O2B=200mm and input link makes an angle 60 degree with positive x-axis. The I centre I24 is located along the line joining O2Oleft side of O2 at a distance 150 mm from O2. The input link rotate with angular velocity of 3 rad/s , find the angular velocity of the output link in rad/s.

Question 3

Two links have angular velocity of 20 rad/s and 15 rad/s both in opposite directions. If the radius of the pin at O is 10mm, O is point where two links are connected, determine the rubbing velocity at the joint____?

Question 4

In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of ‘θ’ is 1.5 m/s and the slope of velocity curve at the same angle is –0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively.

Question 5

A vibration isolation system with  transmissibility ratio of 0.25 is subjected to disturbing force of  500N.The amount of force transmitted to the ground will be

Question 6

A disc is rotating with certain angular velocity. A point P is located at the periphery having velocity 8 m/s and point Q is located at some radial distance with velocity 2m/s. If the distance between P and Q is 100 mm. Find the radius of the disc.

Question 7

A gun is designed in such a manner, that on firing, the barrel recoils against a group of 5 springs of same compliance arrange in parallel. A dashpot, at the recoils end, allows the barrel to come back to its initial position. If Gun barrel has mass 1000 kg and the barrel recoils 1.6m on firing and the initial recoil velocity of the Gun barrel is 30m/s, the spring constant of each individual spring is

Question 8

Which of the following is the main cause for the variation of tractive effort of an engine?

a) Unbalanced part of primary force along the line of stroke

b) Secondary force along the line of stroke

c) Unbalanced part of primary force along the perpendicular to line of stroke

d) Secondary force along the perpendicular to line of stroke

Question 9

A flywheel whose moment of inertia is 3000kg-sq.m is attached to a shaft which starts from rest and undergoes a uniform acceleration of 0.5rad/. Calculate the kinetic energy (kJ) of the flywheel after 20s from its start.

Question 10

For the mechanism shown in the figure below angular velocities of the link 2 and link 3 are 5 rad/s and 14 rad/s. Find the angular velocity of the link 2 with respective to link 3
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