GATE ME 2006 | Gears and Gear Trains Question 19 | Theory of Machines

GATE ME 2006

MCQ (Single Correct Answer)

-0.6

A planetary gear train has four gears and one carrier. Angular velocities of the gears are $${\omega _1},{\omega _2},{\omega _3},$$ and $${\omega _4}$$ respectively. The carrier rotates with angular velocity $${\omega _5}.$$ GATE ME 2006 Theory of Machines - Gears and Gear Trains Question 17 English

GATE ME 2006 Theory of Machines - Gears and Gear Trains Question 17 English

What is the relation between the angular velocities of Gear $$1$$ and Gear $$4$$?

$${{{\omega _1} - {\omega _5}} \over {{\omega _4} - {\omega _5}}} = 6$$

$${{{\omega _4} - {\omega _6}} \over {{\omega _1} - {\omega _5}}} = 6$$

$${{{\omega _1} - {\omega _2}} \over {{\omega _4} - {\omega _5}}} = - \left( {{2 \over 3}} \right)$$

$${{{\omega _2} - {\omega _5}} \over {{\omega _4} - {\omega _5}}} = - \left( {{8 \over 9}} \right)$$

GATE ME 2006

MCQ (Single Correct Answer)

-0.6

Match the items in columns $$I$$ and $$II$$

Column $$I$$
$$P.$$ Addendum
$$Q.$$ Instantaneous center of velocity
$$R.$$ Section modulus
$$S.$$ Prince circle

Column $$II$$
$$1.$$ Cam
$$2.$$ Beam
$$3.$$ Linkage
$$4.$$ Gear

$$P = 4,Q = 2,R = 3,S = 1$$

$$P = 4,Q = 3,R = 2,S = 1$$

$$P = 3,Q = 2,R = 1,S = 4$$

$$P = 3,Q = 4,R = 1,S = 2$$

GATE ME 2003

MCQ (Single Correct Answer)

-0.6

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. The countershafts which is parallel to the input and output shafts has a gear (Z₂ teeth) and pinion (Z₃ = 15 teeth) to mesh with pinion (Z₁ = 16 teeth) on the input shafts and gear (Z₄ teeth) on the output shafts respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.

The centre distance in the second stage is

90 mm

120 mm

160 mm

240 mm

GATE ME 2003

MCQ (Single Correct Answer)

-0.6

Z₂ and Z₄ are

64 and 45

45 and 64

48 and 60