What is the natural frequency of this system?

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SUMMARY

The discussion centers on calculating the natural frequency of a spring-mass system attached to a horizontal simple pendulum. The relevant equation provided is Hooke's Law, F = -Kx, which describes the force exerted by the spring. Participants emphasize the need for additional details, such as whether the left string is inextensible and the direction of oscillation, to accurately determine the system's natural frequency. The conversation highlights the importance of clarifying system parameters for precise calculations.

PREREQUISITES
  • Understanding of Hooke's Law (F = -Kx)
  • Basic principles of oscillatory motion
  • Knowledge of spring-mass systems
  • Familiarity with pendulum dynamics
NEXT STEPS
  • Research the natural frequency formula for coupled oscillators
  • Learn about the effects of string elasticity on pendulum motion
  • Study the impact of mass distribution in spring-mass systems
  • Explore advanced topics in harmonic motion and resonance
USEFUL FOR

Students studying physics, mechanical engineers, and anyone interested in the dynamics of oscillatory systems will benefit from this discussion.

Arunsaikalki
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Homework Statement
A spring mass system is attached to a
Horizontal simple pendulum at the middle of its string as shown in image. What is the natural frequency of the system??
Relevant Equations
F = - Kx for spring mass system
IMG_20200425_123340.jpg
 
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Arunsaikalki said:
Homework Statement:: A spring mass system is attached to a
Horizontal simple pendulum at the middle of its string as shown in image. What is the natural frequency of the system??
Relevant Equations:: F = - Kx for spring mass system

View attachment 261386
Please post your attempt so that we can review it and help you.Also please mention the details of the question,whether the left string is inextensible or not,are the oscillation sideways or along the spring.
 
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