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.Arunsaikalki said:
The natural frequency of a system refers to the frequency at which the system will naturally vibrate or oscillate when disturbed.
The natural frequency of a system can be calculated using the formula: fn = 1/2π√(k/m), where fn is the natural frequency, k is the spring constant, and m is the mass of the system.
The natural frequency of a system is affected by the mass and stiffness of the system. Systems with higher mass and lower stiffness will have a lower natural frequency, while systems with lower mass and higher stiffness will have a higher natural frequency.
Knowing the natural frequency of a system is important in understanding how the system will respond to external forces or disturbances. It can also help in designing and optimizing systems to avoid resonance, which can cause damage or failure.
The natural frequency of a system can be changed by altering the mass or stiffness of the system. Increasing the mass will decrease the natural frequency, while increasing the stiffness will increase the natural frequency. Additionally, changing the damping of the system can also affect the natural frequency.