Question:
A linearly elastic beam of length 2l with flexural rigidity EI has negligible mass. A massless spring with a spring constant k and a rigid block of mass m are attached to the beam as shown in the figure.
The natural frequency of this system is
A linearly elastic beam of length 2l with flexural rigidity EI has negligible mass. A massless spring with a spring constant k and a rigid block of mass m are attached to the beam as shown in the figure.
The natural frequency of this system is
The natural frequency of this system is
Updated On: Feb 15, 2025
- \(\sqrt{\frac{kl^3+6EI}{ml^3}}\)
- \(\sqrt{\frac{kl^3+48EI}{ml^3}}\)
- \(\sqrt{\frac{6EIk}{(kl^3+6EI)m}}\)
- \(\sqrt{\frac{48EIk}{(kl^3+48EI)m}}\)
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The Correct Option is A
Solution and Explanation
The correct option is (A) : \(\sqrt{\frac{kl^3+6EI}{ml^3}}\).
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