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A 2.5-kg object is attached to a spring with force constant 25.8 N/m and is driven by an external oscillator that provides a force given by the function F(t) = 3.3 sin(2 π t), where F is force in newtons and t is time in seconds. Air resistance on the oscillating mass is represented by a damping coefficient of 1.4 N-s/m. a. Determine the natural angular frequency (aka the resonance angular frequency) of the system. rad/s or s-1 b. Determine the angular frequency of the driven system (from the given sinusoidal model). Express your answer as a decimal. rad/s or s 1 Wo= W= c. Determine the amplitude of the oscillation. A = cm

A 2.5-kg object is attached to a spring with force constant 25.8 N/m and is driven by an external oscillator that provides a force given by the function F(t) = 3.3 sin(2 π t), where F is force in newtons and t is time in seconds. Air resistance on the oscillating mass is represented by a damping coefficient of 1.4 N-s/m. a. Determine the natural angular frequency (aka the resonance angular frequency) of the system. rad/s or s-1 b. Determine the angular frequency of the driven system (from the given sinusoidal model). Express your answer as a decimal. rad/s or s 1 Wo= W= c. Determine the amplitude of the oscillation. A = cm

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A 2.5-kg object is attached to a spring with force constant 25.8 N/m and is driven by an external oscillator that provides a force given by the function F(t) = 3.3 sin(2 π t), where F is force in newtons and t is time in seconds. Air resistance on the oscillating mass is represented by a damping coefficient of 1.4 N-s/m. a. Determine the natural angular frequency (aka the resonance angular frequency) of the system. rad/s or s-1 Wo= b. Determine the angular frequency of the driven system (from the given sinusoidal model). Express your answer as a decimal. rad/s or s-1 W= c. Determine the amplitude of the oscillation. A = cm
Transcribed Image Text:A 2.5-kg object is attached to a spring with force constant 25.8 N/m and is driven by an external oscillator that provides a force given by the function F(t) = 3.3 sin(2 π t), where F is force in newtons and t is time in seconds. Air resistance on the oscillating mass is represented by a damping coefficient of 1.4 N-s/m. a. Determine the natural angular frequency (aka the resonance angular frequency) of the system. rad/s or s-1 Wo= b. Determine the angular frequency of the driven system (from the given sinusoidal model). Express your answer as a decimal. rad/s or s-1 W= c. Determine the amplitude of the oscillation. A = cm
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