1
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A circular rod of length $$‘L’$$ and area of cross-section $$‘A’$$ has a modulus of elasticity $$‘E’$$ and coefficient of thermal expansion $$‘α’.$$ One end of the rod is fixed and other end is free. If the temperature of the rod is increased by $$\Delta T.$$ then
A
stress developed in the rod is $$E\alpha \Delta T$$ and strain developed in the rod is $$\alpha \Delta T$$
B
both stress and strain developed in the rod are zero
C
stress developed in the rod is zero and strain developed in the rod is $$\alpha \Delta T$$
D
stress developed in the rod is $$E\alpha \Delta T$$ and strain developed in the rod is zero
2
GATE ME 2014 Set 1
Numerical
+1
-0
A metallic rod of $$500$$mm length and $$50$$mm diameter, when subjected to a tensile force of $$100$$kN at the ends, experiences an increase in its length by $$0.5$$mm and a reduction in its diameter by $$0.015$$mm. The Poisson's ratio of the rod material is _______ .
Your input ____
3
GATE ME 2014 Set 1
Numerical
+2
-0
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length $$0.01m$$. The frequency of vibration of the beam, with a $$0.5$$ kg mass attached at the free tip, is $$100Hz$$. The flexural rigidity (in $$N.{m^2}$$) of the beam is _________.
Your input ____
4
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A rigid uniform rod $$AB$$ of length $$L$$ and mass $$m$$ is hinged at $$C$$ such that $$AC = L/3, CB = 2L/3.$$ Ends $$A$$ and $$B$$ are supported by springs of spring constant $$k.$$ The natural frequency of the system is given by GATE ME 2014 Set 1 Theory of Machines - Vibrations Question 27 English
A
$$\sqrt {{K \over 2m}} $$
B
$$\sqrt {{K \over m}} $$
C
$$\sqrt {{2K \over m}} $$
D
$$\sqrt {{5K \over m}} $$
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