1
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
A uniform rigid slender bar of mass $$10$$ $$kg.$$ is hinged at the left end is suspended with the help of spring and damper arrangement as shown in the figure where $$K = 2kN/m,$$ $$C =500Ns/m$$ and the stiffness of the torsional spring $${K_\theta }$$ is 1 kN/m/rad. Ignore the hinge dimensions.

The un-damped natural frequency of oscillations of the bar about the hinge point is

A
$$42.43$$ rad/s
B
$$30$$ rad/s
C
$$17.32$$ rad/s
D
$$14.14$$ rad/s
2
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
A uniform rigid slender bar of mass $$10$$ $$kg.$$ is hinged at the left end is suspended with the help of spring and damper arrangement as shown in the figure where $$K = 2kN/m,$$ $$C =500Ns/m$$ and the stiffness of the torsional spring $${K_\theta }$$ is 1 kN/m/rad. Ignore the hinge dimensions.

The damping coefficient in the vibration equation is given by

A
$$500$$ Nms/rad
B
$$500$$ N/(m/s)
C
$$80$$ Nms/rad
D
$$80$$ N/(m/s)
3
GATE ME 2001
MCQ (Single Correct Answer)
+2
-0.6
The assembly shown in the figure is composed of two massless rods of length $$l$$ with two particles, each of mass $$m$$. The natural frequency of this assembly for small oscillations is
A
$$\sqrt {g/\ell }$$
B
$$\sqrt {2g/\left( {\ell \cos \alpha } \right)}$$
C
$$\sqrt {g/\left( {\ell \cos \alpha } \right)}$$
D
$$\sqrt {\left( {g\cos \alpha } \right)/\ell }$$
4
GATE ME 2000
MCQ (Single Correct Answer)
+2
-0.6
As shown in Figure, a mass of 100 kg is held between two springs. The natural frequency of vibration of the system, in cycles/s, is
A
$${1 \over {2\pi }}$$
B
$${5 \over {\pi }}$$
C
$${10 \over {\pi }}$$
D
$${20 \over {\pi }}$$
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