1
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point $$O$$ at a uniform angular velocity $$\omega $$. Two other points $$A$$ and $$B$$ are located on the line $$OZ$$ at distances $${r_A}$$ and $${r_B}$$ from $$O$$ respectively. GATE ME 2003 Theory of Machines - Analysis of Plane Mechanisms Question 24 English

The acceleration of point $$B$$ with respect to point $$A$$ is a vector of magnitude

A
$$0$$
B
$$\omega \left( {{r_B}^2 - {r_A}^2} \right)$$ and direction same as the direction of motion of point $$B$$
C
$${\omega ^2}\left( {{r_B} - {r_A}} \right)$$ and direction opposite to the direction of motion of point $$B$$
D
$${\omega ^2}\left( {{r_B} - {r_A}} \right)$$ and direction being from $$Z$$ to $$O$$
2
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershafts which is parallel to the input and output shafts has a gear (Z2 teeth) and pinion (Z3 = 15 teeth) to mesh with pinion (Z1 = 16 teeth) on the input shafts and gear (Z4 teeth) on the output shafts respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.

Z2 and Z4 are

A
64 and 45
B
45 and 64
C
48 and 60
D
60 and 48
3
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershafts which is parallel to the input and output shafts has a gear (Z2 teeth) and pinion (Z3 = 15 teeth) to mesh with pinion (Z1 = 16 teeth) on the input shafts and gear (Z4 teeth) on the output shafts respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.

The centre distance in the second stage is

A
90 mm
B
120 mm
C
160 mm
D
240 mm
4
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
For a certain engine having an average speed of $$1200$$ rpm, a flywheel approximated as a solid disc, is required for keeping the fluctuation of speed within $$2$$% about the average speed. The fluctuation of kinetic energy per cycle is found to be $$2$$kJ. What is the least possible mass of the flywheel if its diameter is not exceed $$1$$ m?
A
$$40$$ kg
B
$$51$$ kg
C
$$62$$ kg
D
$$73$$ kg
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