Gears and Gear Trains · Theory of Machines · GATE ME

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Marks 1

GATE ME 2023
A cuboidal part has to be accurately positioned first, arresting six degrees of freedom and then clamped in a fixture, to be used for machining. Locat...
GATE ME 2023
Two meshing spur gears 1 and 2 with diametral pitch of 8 teeth per mm and an angular velocity ratio |ω2 |/|ω1 | = 1/4, have their centers 30...
GATE ME 2015 Set 3
A gear train is made up of five spur gears as shown in the figure. Gear $$2$$ is driver and gear $$6$$ is driven member. $${N_{2,}}{N_{3,}}{N_{4,}}{N_...
GATE ME 2014
Which one of the following is used to convert a rotational motion into a translational motion?
GATE ME 2012
The following are the data for two crossed helical gears used for speed reduction: Gear $$I:$$ Pitch circle diameter in the plane of rotation 80mm an...
GATE ME 2010
Tooth interference in an external involute spur gear pair can be reduced by
GATE ME 2000
A 1.5 kW motor is running at 1440 rev/min. Its is to be connected to a stirrer running at 36 rev/min. The gearing arrangement suitable for this appli...
GATE ME 1994
In spur gears having involute teeth, the product of circular pitch and diametral pitch is _________

Marks 2

GATE ME 2024
The Levi type-A train illustrated in the figure has gears with module $m = 8 \text{ mm/tooth}$. Gears 2 and 3 have 19 and 24 teeth respectively. Gear ...
GATE ME 2022 Set 1
A schematic of an epicyclic gear train is shown in the figure. The sun (gear 1) and planet (gear 2) are external, and the ring gear (gear 3) is i...
GATE ME 2017 Set 2
A gear train shown in the figure consists of gears P, Q, R and S. Gear Q and gear R are mounted on the same shaft. All the gears are mounted on parall...
GATE ME 2017 Set 1
In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at 100 rpm. Let the number ...
GATE ME 2016 Set 1
In the gear train shown, gear 3 is carried on arm 5. Gear 3 meshes with gear 2 and gear 4. The number of teeth on gear 2, 3, and 4 are 60, 20, and 100...
GATE ME 2015 Set 1
A pinion with radius $${r_1}$$, and inertia $${{\rm I}_1}$$ is driving a gear with radius $${r_2}$$ and inertia $${{\rm I}_2}$$ . Torque $${\tau _1}$$...
GATE ME 2014
It is desired to avoid interference in a pair of spur gears having a 20o pressure angle. With increase in pinion to gear speed ratio, the minimum numb...
GATE ME 2014
Gear 2 rotates at 1200 rpm in counter clockwise direction and engages with Gear 3. Gear 3 and Gear 4 are mounted on the same shaft. Gear 5 engages wit...
GATE ME 2013
A compound gear train with gears P, Q, R and S has number of teeth 20, 40, 15 and 20, respectively. Gears Q and R are mounted on the same shaft as sho...
GATE ME 2010
For the epicyclic gear arrangement shown in the figure, $${{\omega _2} = 100}$$ rad/s clockwise (CW) and $${{\omega _{arm}} = 80}$$ rad/s counter cl...
GATE ME 2009
An epicyclic gear train is shown schematically in the adjacent figure The sun gear 2 on the input shaft is a 20 teeth external gear. The planet gear 3...
GATE ME 2006
Match the items in columns $$I$$ and $$II$$ Column $$I$$ $$P.$$ Addendum $$Q.$$ Instantaneous center of velocity $$R.$$ Section modulus $$S.$$ Prince ...
GATE ME 2006
A planetary gear train has four gears and one carrier. Angular velocities of the gears are $${\omega _1},{\omega _2},{\omega _3},$$ and $${\omega _4}$...
GATE ME 2006
A planetary gear train has four gears and one carrier. Angular velocities of the gears are $${\omega _1},{\omega _2},{\omega _3},$$ and $${\omega _4}$...
GATE ME 2003
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. T...
GATE ME 2003
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. T...
GATE ME 2001
The sun gear in the figure is driven clockwise at 100 rpm. The ring gear is held stationary. For the number of teeth shown on the gears, the arm rotat...
GATE ME 1995
List $$I$$ (Gear types) (a) Worm gears (b) Cross helical gears (c) Bevel gears (d) Spur gears List $$II$$ (Applications) 1. Parallel shafts 2. Non-par...
GATE ME 1995
The arm OA of an epicylic gear train shown in Fig. revolves counter clockwise about O with an angular velocity of 4 rad/sec. Both gears are of same si...

Marks 5

GATE ME 1999
A planetary gear train is shown in Figure. Internal gear (1) has 104 teeth and is held fixed and planet gear (2) has 96 teeth. How much does the plane...
GATE ME 1996
Below Fig show a planetary gear train. Gears 2, 4 and 5 have 24, 40 and 144 teeth respectively. Gear 5 is fixed. Gear 2 is rotating clockwise at 700 ...
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