1
GATE ME 2003
MCQ (Single Correct Answer)
+1
-0.3
Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having he modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?
A
Both rods elongate by the same amount
B
Mild steel rod elongates more than the cast iron rod
C
Cast iron rod elongates more than the mild steel rod
D
As the stresses are equal strains are also equal in both the rods
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 29 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 $$O$$
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 30 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 $$Z$$
4
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 $$s$$
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