The valve mechanism in Figure 2.41 is in equilibrium when the rocker arm is horizontal. The system is assumed to be frictionless. Use an energy method to determine the natural frequency for small vibration about equilibrium in terms of \(k, m_{B}, m_{R}, m_{V}, a\), and \(b\).

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mg Balancing Mass Rocker Arm 0000 k Valve Stem my Valve Figure 2.41: A rocker-arm valve system.