GATE ME 2006 | GATE ME Year Wise Previous Years Questions

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 13 English

GATE ME 2006 Theory of Machines - Gears and Gear Trains Question 13 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

GATE ME 2006 Theory of Machines - Gears and Gear Trains Question 12 English

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?

$$130$$ rpm, $$CW$$

$$223$$ rpm, $$CCW$$

$$256$$ rpm, $$CW$$

$$156$$ rpm, $$CCW$$

GATE ME 2006

MCQ (Single Correct Answer)

-0.6

If $${C_f}$$ is the coefficient of speed fluctuation of a flywheel then the ratio of $${\omega _{\max }}/{\omega _{\min }}$$ will be

$${{1 - 2{C_f}} \over {1 + 2{C_f}}}$$

$${{2 - {C_f}} \over {2 + {C_f}}}$$

$${{1 - 2{C_f}} \over {1 - 2{C_f}}}$$

$${{2 + {C_f}} \over {2 - {C_f}}}$$

GATE ME 2006

MCQ (Single Correct Answer)

-0.3

The differential equation governing the vibrating system is GATE ME 2006 Theory of Machines - Vibrations Question 58 English

$$m\mathop x\limits^{ \bullet \bullet } + c\mathop x\limits^{ \bullet \bullet } + k\left( {x - y} \right) = 0$$

$$m\left( {\mathop x\limits^{ \bullet \bullet } - \mathop y\limits^{ \bullet \bullet } } \right) + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + kx = 0$$

$$m\mathop x\limits^{ \bullet \bullet } + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + kx = 0$$

$$m\left( {\mathop x\limits^{ \bullet \bullet } - \mathop y\limits^{ \bullet \bullet } } \right) + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + k\left( {x - y} \right) = 0$$

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