What is the natural frequency of this system?

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The discussion centers on determining the natural frequency of a spring-mass system connected to a horizontal simple pendulum. The relevant equation for the spring-mass system is F = -Kx. Participants are encouraged to share their attempts at solving the problem for review. Clarifications are requested regarding the properties of the left string, such as whether it is inextensible, and the direction of oscillation—sideways or along the spring. Understanding these details is crucial for accurately calculating the system's natural frequency.
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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