1
GATE ME 2015 Set 1
+2
-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?
A
$${F_1} \ne {F_2};{\tau _1} = {{\rm{I}}_1}\mathop \theta \limits^{..} {}_1;{F_2} = {{\rm{I}}_2}{{{r_1}} \over {{r_2}}}{\mathop \theta \limits^{..} _1}$$
B
$${F_1} = {F_2};{\tau _1} = \left[ {{{\rm{I}}_1} + {{\rm{I}}_2}{{\left( {{{{r_1}} \over {{r_2}}}} \right)}^2}} \right]\mathop \theta \limits^{..} {}_1;{F_2} = {{\rm{I}}_2}{{{r_1}} \over {{r_2}}}\mathop \theta \limits^{..} {}_1$$
C
$${F_1} = {F_2};{\tau _1} = {{\rm{I}}_1}\mathop \theta \limits^{..} {}_1;{F_2} = {{\rm{I}}_2}{1 \over {{r_2}}}\mathop \theta \limits^{..} {}_2$$
D
$${F_1} \ne {F_2};{\tau _1} = \left[ {{{\rm{I}}_1} + {{\rm{I}}_2}{{\left( {{{{r_1}} \over {{r_2}}}} \right)}^2}} \right]\mathop \theta \limits^{..} {}_1;{F_2} = {{\rm{I}}_2}{1 \over {{r_2}}}\mathop \theta \limits^{..} {}_2$$
2
GATE ME 2014
+2
-0.6
It is desired to avoid interference in a pair of spur gears having a 20o pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion
A
increases
B
decreases
C
first increases and then decreases
D
remains unchanged
3
GATE ME 2014
+2
-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
A
300 rpm counter clockwise
B
300 rpm clockwise
C
4800 rpm counter clockwise
D
4800 rpm clockwise
4
GATE ME 2013
+2
-0.6
A compound gear train with gears P, Q, R and S has number of teeth 20, 40, 15 and 20, respectively. Gears Q and R are mounted on the same shaft as shown in the figure below. The diameter of the gear Q is twice that of the gear R. If the module of the gear R is 2 mm, the center distance in mm between gears P and S is
A
40
B
80
C
120
D
160
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