Consider a mass and spring system with mass \( m = 3 \) and spring constant \( k = 75 \), and damping constant \( c \).What would the frequency of oscillation be if there were no damping at all (\( c = 0 \))? The motion is oscillatory for \( c = 25 \), and the general solution has the form\[ x = \left( C_1 \cos (\beta t) + C_2 \sin (\beta t) \right) e^{\alpha t}. \]where \( \alpha = \)\[ \text{(Input box for alpha)} \]and \( \beta = \)\[ \text{(Input box for beta)} \]

The frequency of oscillation if there is no damping. Given, mass, m=3 kgspring constantk=75…

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Consider a mass and spring system with mass m = 3 and spring constant k = 75, and damping constant c. What would the frequency of oscillation be if there were no damping at all (c = 0)?