1
GATE ME 2009
+2
-0.6
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 is a 40 teeth external gear. The ring gear 5 is a 100 teeth internal gear. The ring gear 5 is fixed and the gear 2 is rotating at 60 rpm CCW (CCW $$=$$ counter-clockwise and CW $$=$$ clockwise)

The arm 4 attached to the output shaft will rotate at

A
10 rpm, CCW
B
10 rpm, CW
C
12 rpm, CW
D
12 rpm, CCW
2
GATE ME 2006
+2
-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

A
$$P = 4,Q = 2,R = 3,S = 1$$
B
$$P = 4,Q = 3,R = 2,S = 1$$
C
$$P = 3,Q = 2,R = 1,S = 4$$
D
$$P = 3,Q = 4,R = 1,S = 2$$
3
GATE ME 2006
+2
-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 $${\omega _5}.$$

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

A
$${{{\omega _1} - {\omega _5}} \over {{\omega _4} - {\omega _5}}} = 6$$
B
$${{{\omega _4} - {\omega _6}} \over {{\omega _1} - {\omega _5}}} = 6$$
C
$${{{\omega _1} - {\omega _2}} \over {{\omega _4} - {\omega _5}}} = - \left( {{2 \over 3}} \right)$$
D
$${{{\omega _2} - {\omega _5}} \over {{\omega _4} - {\omega _5}}} = - \left( {{8 \over 9}} \right)$$
4
GATE ME 2006
+2
-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 $${\omega _5}.$$

For $${{\omega _1} = 60}$$ rpm clockwise $$(CW)$$ when looked from the left, what is the angular velocity of the carrier and its direction so that Gear $$4$$ rotates in counter clockwise $$(CCW)$$ direction at twice the angular velocity of Gear $$1$$ when looked from the left?

A
$$130$$ rpm, $$CW$$
B
$$223$$ rpm, $$CCW$$
C
$$256$$ rpm, $$CW$$
D
$$156$$ rpm, $$CCW$$
GATE ME Subjects
EXAM MAP
Medical
NEET