GATE ME 2016 Set 1 | Gears and Gear Trains Question 4 | Theory of Machines

GATE ME 2016 Set 1

MCQ (Single Correct Answer)

-0.6

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, respectively. If gear 2 is fixed and gear rotates with an angular velocity of 100 rpm in the counterclockwise direction, the angular speed of arm 5 (in rpm) is GATE ME 2016 Set 1 Theory of Machines - Gears and Gear Trains Question 6 English

GATE ME 2016 Set 1 Theory of Machines - Gears and Gear Trains Question 6 English

166.7 counterclockwise

166.7 clockwise

62.5 counterclockwise

62.5 clockwise

GATE ME 2015 Set 1

MCQ (Single Correct Answer)

-0.6

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 $${\tau _1}$$ is applied on pinion. The following are free body diagrams of pinion and gear showing important forces ($${F_1}$$and $${F_2}$$) of interaction. Which of the following relations hold true? GATE ME 2015 Set 1 Theory of Machines - Gears and Gear Trains Question 7 English

GATE ME 2015 Set 1 Theory of Machines - Gears and Gear Trains Question 7 English

$${F_1} \ne {F_2};{\tau _1} = {{\rm{I}}_1}\mathop \theta \limits^{..} {}_1;{F_2} = {{\rm{I}}_2}{{{r_1}} \over {{r_2}}}{\mathop \theta \limits^{..} _1}$$

$${F_1} = {F_2};{\tau _1} = \left[ {{{\rm{I}}_1} + {{\rm{I}}_2}{{\left( {{{{r_1}} \over {{r_2}}}} \right)}^2}} \right]\mathop \theta \limits^{..} {}_1;{F_2} = {{\rm{I}}_2}{{{r_1}} \over {{r_2}}}\mathop \theta \limits^{..} {}_1$$

$${F_1} = {F_2};{\tau _1} = {{\rm{I}}_1}\mathop \theta \limits^{..} {}_1;{F_2} = {{\rm{I}}_2}{1 \over {{r_2}}}\mathop \theta \limits^{..} {}_2$$

$${F_1} \ne {F_2};{\tau _1} = \left[ {{{\rm{I}}_1} + {{\rm{I}}_2}{{\left( {{{{r_1}} \over {{r_2}}}} \right)}^2}} \right]\mathop \theta \limits^{..} {}_1;{F_2} = {{\rm{I}}_2}{1 \over {{r_2}}}\mathop \theta \limits^{..} {}_2$$

GATE ME 2014

MCQ (Single Correct Answer)

-0.6

It is desired to avoid interference in a pair of spur gears having a 20^o pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion

increases

decreases

first increases and then decreases

remains unchanged

GATE ME 2014

MCQ (Single Correct Answer)

-0.6

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 with Gear 4. The numbers of teeth on Gears 2, 3, 4 and 5 are 20, 40, 15 and 30, respectively. The angular speed of Gear 5 is GATE ME 2014 Theory of Machines - Gears and Gear Trains Question 9 English