1
GATE ME 2003
MCQ (Single Correct Answer)
+1
-0.3
The lengths of the links of a 4-bar linkage with revolute pairs only are $$p,q,r$$ and $$s$$ units. Given that $$p < q < r < s.$$ Which of these links should be the fixed one, for obtaining a ‘double crank’ mechanism?
A
link of length $$p$$
B
link of length $$q$$
C
link of length $$r$$
D
link of length $$s$$
2
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 25 English

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

A
$$0$$
B
$$\omega \left( {{r_B} - {r_A}} \right)$$ and direction opposite to the direction of motion of point $$B$$
C
$$\omega \left( {{r_B} - {r_A}} \right)$$ and direction same as the direction of motion of point $$B$$
D
$$\omega \left( {{r_B} - {r_A}} \right)$$ and direction being from $$O$$ to $$Z$$
3
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 $$O$$
4
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
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