Direction: A uniform rigid slender bar of mass 10 kg, hinged at the left end is suspended with the help of spring and damper arrangement as shown in the figure where K= 2 kN/m, C = 500 Ns/m and the stiffness of the torsional spring kθ is 1 kN /m/rad. Ignore the hinge dimensions.
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The undamped natural frequency of oscillations of the bar about the hinge point is
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- 42.43 rad/s
- 30 rad/s
- 17.32 rad/s
- 14.14 rad/s
Correct Option: A
x1 = l1Q
x2 = Q.l2
For small deflection, after equilibrium
Taking momentum about O
| C | . l1 + kx2l2 + Iα + kθ.Q = 0 ...(i) | dt |
