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GATE ME 2022: Theory of Machine

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Question 1

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

Question 2

A 1m long cantilever beam carrier a mass of 40 kg at the free end. If the second moment of area and Young’s modulus are 600 mm⁴ and 600 GPa respectively, the natural frequency of the system will be

Question 3

For the compound gear train as shown in figure, B and C constitute a compound gear.The number of teeth are shown along with each wheel. Arm revolves at 210 rpm clockwise and gear D is fixed.Speed and direction of E will be
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Question 4

The number of degree of freedom for the mechanism shown will be.

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Question 5

In a hartnell governor, the mass of each ball is 3 kg. The extreme radii of rotation of the balls are 40 mm and 30 mm and the corresponding maximum and minimum centrifugal forces on the ball are 1500 N and 50 N respectively. Lengths of vertical and horizontal arms of the bell – crank levers are in the ratio of 2:1 . The spring stiffness will be :

Question 6

The Whitworth quick return motion mechanism has the driving crank 150 mm long. The distance between fixed centers is 100 mm. The line of stroke of the ram passes through the centre of rotation of the slotted lever whose free end is connected to the ram by a connecting link. The ratio of time of cutting stroke to that of time of return stroke is __________.

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ESE & GATE ME Theory of Machines & Vibrations

Jun 11ESE & GATE ME