All Problems

Mechanical Oscillations

Problem 4.58

Two cubes with masses \(m_{1}\) and \(m_{2}\) were interconnected by a weightless spring of stiffness \(x\) and placed on a smooth horizontal surface. Then the cubes were drawn closer to each other and released simultaneously. Find the natural oscillation frequency of the system.

Reveal Answer
ω0=x/μ, where μ=m1m2/(m1+m2)\omega_{0}=\sqrt{x / \mu}, \text { where } \mu=m_{1} m_{2} /\left(m_{1}+m_{2}\right)
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