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GATE 2019: Theory of Machine Quiz 6

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Question 1

In case of a spinning wheel or a disc, what is the effect on gyroscope's axis ? And in this case, the law that is applicable is -

Question 2

An aeroplane moving with a velocity of 300 kmph negotiates a turn along a circular path of radius 600 m. If the angular velocity of the rotating parts of the plane is 120 rad/s and the moment of inertia of the rotating parts is 60 kg.m2, the gyroscopic couple is

Question 3

A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car. The combined moment of inertia of the rotating masses is 10 kg-m2. The magnitude of the gyroscopic moment (in N-m) is __________

Question 4

Determine the variation in tractive effort if driving wheel diameter is 2m of a two cylinder locomotive. Consider the following parameters
Mass of reciprocating parts per cylinder = 300 kg
Distance between cylinder centre lines = 0.55 m
Crank radius = 0.2 m
Cranks are at angles = 90°
c = 0.75
If the velocity of wheel is 80km/h 

Question 5

A rotor of steam turbine runs at 9000 rpm, out to the extent of 0.2 cm. The rotor weighs 5000N , what will be the resultant centrifugal force.

Question 6

Determine the maximum swaying couple of a two cylinder locomotive. Consider the following parameters:
Mass of reciprocating parts per cylinder = 300 kg
Distance between cylinder centre lines = 0.55 m
Crank radius = 0.2 m
Radius of wheel=0.9m
Cranks are at angles = 90 °
If the velocity of hammer blow is 80km/h and take c = 0.75
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