1
GATE ME 2006
MCQ (Single Correct Answer)
+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 $${\omega _5}.$$ GATE ME 2006 Theory of Machines - Gears and Gear Trains Question 19 English

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
$${{{\omega _2} - {\omega _5}} \over {{\omega _4} - {\omega _5}}} = - \left( {{8 \over 9}} \right)$$
2
GATE ME 2006
MCQ (Single Correct Answer)
+1
-0.3
The number of inversions for a slider crank mechanism is
A
6
B
5
C
4
D
3
3
GATE ME 2006
MCQ (Single Correct Answer)
+1
-0.3
For a four bar linkage in Toggle position, the value of mechanical advantage is
A
0.0
B
0.5
C
1.0
D
$$\infty $$
4
GATE ME 2006
MCQ (Single Correct Answer)
+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
$$P = 3,Q = 4,R = 1,S = 2$$