A mass m is confined to move in a channel in the x-direction and is connected to four identical springs with spring constant k, which are oriented at angles [itex]\phi[/itex] = 45° as shown, if the system is in static equilibrium.(adsbygoogle = window.adsbygoogle || []).push({});

a) Ignoring friction, determine the natural frequency of vibration of the system.

b) What is the natural frequency, if the springs are oriented at equal but arbitrary angles [itex]\phi[/itex]?

[itex]\omega[/itex]_{n}= [itex]\sqrt{\frac{k}{m}}[/itex]

Not quite sure how to go about this one. I figure you need to take a small displacement of the system to the right or less then analyse the forces such that [itex]\Sigma[/itex]F = ma, and then derive the standard form of the spring equation from there.

Any hints would be helpful!

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# Homework Help: Natural Frequency of a Spring System

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