A 2.0 kg mass hangs on a spring with a 0.5 newton/meter force constant and its motion is not damped. If the system is subjected to an external variable-frequency vibration described as newtons, at what frequency, , will the external vibration and the spring system be in resonance? A) 0.25 s^-1 B) 0.50 s^-1 C) 4.00 s^-1 D) 2.00 s^-1

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Quizplus · Accepted Answer

To find the resonant frequency, we need to set the frequency of the external vibration equal to the natural frequency of the spring-mass system. The natural frequency of a spring-mass system is given by: f = (1/2π) √(k/m) where k is the force constant of the spring and m is the mass of the object hung on the spring. Plugging in the given values, we get: f = (1/2π) √(0.5 N/m / 2.0 kg) = 0.50 Hz Therefore, the answer is B) 0.50 s^-1.

A 20 Kg Mass Hangs on a Spring with a 0