Question

Which one of the following relations with usual notations will hold good in a dynamic vibration absorber system under tuned conditions?
1. k₁k₂ = m₁m₂
2. k₁m₂ = m₁k₂
3. k₁m₁ = k₂m₂
4. k₁ + k₂ = m₁ + m₂

Answer 1

Correct Answer - Option 2 : k₁m₂ = m₁k₂

Concept:

For dynamics vibration absorber system under tuned condition,

Frequency is equal i.e.

f₁ = f₂

\(\sqrt {\frac{{{k_1}}}{{{m_1}}} = } \sqrt {\frac{{{k_2}}}{{{m_2}}}} \)   

∴ k₁m₂ = m₁k₂