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# GATE 2023 || Theory of Machines & Vibrations || Quiz 25

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Question 1

The number of degrees of freedom of an epicyclic gear train is

Question 2

Consider the following statements:
Helical gears may be designed in applications where gears are to be mounted on
1) Non-parallel shafts.
2) Parallel shafts.
3) Intersecting shafts.
4) Non-parallel and non-intersecting shafts.
Which of these statements is/are correct?

Question 3

In an epicyclic gear train, an arm carries two gears A and B having 30 and 40 teeth respectively. If the arm rotates at 160 r.p.m. in the anticlockwise direction about the centre of the gear A which is fixed, determine the magnitude of speed of gear B in rpm .

Question 4

In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at 100rpm. Let the number of teeth on the sun, planet and outer gears to be 50, 25, and 100, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is _________.

Question 5

The figure below shows an epicyclic arrangement of gear trains.

If the gear A makes 2 revolution clockwise and the gear D is stationary, then the arm to which the pinions B and C are attached makes how many revolutions?

Take the number of teeth on gears A and D as 40 and 90 respectively.

Question 6

A pinion having 40 teeth drives a gear having 80 teeth. The profile of the gears is involute with 20° pressure angle, 10 mm module and 8 mm addendum. Find the contact ratio.
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