Question:
What is the effect of mass of spring \(m_s\) on equivalent mass \(M\) of system with mass \(m\)?
What is the effect of mass of spring \(m_s\) on equivalent mass \(M\) of system with mass \(m\)?
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In SHM with spring mass, always add \(\frac{1}{3}\) of spring mass to attached mass.
Updated On: May 22, 2026
- \(M = m + \frac{m_s}{3}\)
- \(M = \frac{m}{3} + m_s\)
- \(M = m + m_s\)
- \(M = \frac{m + m_s}{3}\)
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The Correct Option is A
Solution and Explanation
Concept:
In oscillations, a spring has distributed mass. Only a fraction contributes to kinetic energy.
Step 1: Key result.
Effective mass of spring: \[ = \frac{m_s}{3} \]
Step 2: Total effective mass.
\[ M = m + \frac{m_s}{3} \] Final Answer: \[ \boxed{M = m + \frac{m_s}{3}} \]
Step 1: Key result.
Effective mass of spring: \[ = \frac{m_s}{3} \]
Step 2: Total effective mass.
\[ M = m + \frac{m_s}{3} \] Final Answer: \[ \boxed{M = m + \frac{m_s}{3}} \]
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