(a) A device consists of an object with a weight of 30.0 N hanging vertically from...

Transcribed Image Text:

(a) A device consists of an object with a weight of 30.0 N hanging vertically from a spring with a spring constant of 250 N/m. There is negligible damping of the oscillating system. Applied to the system is a harmonic driving force of 13.0 Hz, which causes the object to oscillate with an amplitude of 4.00 cm. What is the maximum value of the driving force (in N)? (Enter the magnitude.) 1209.3 Review the concept of resonance. What is the expression for the amplitude of a forced oscillator? What is the natural angular frequency in terms of the spring constant and mass? How is angular frequency related to frequency? How is weight related to mass? N (b) What If? The device is altered so that there is a damping coefficient of b = 5.00 N s/m. The hanging weight and spring constant remain the same. The same driving force as found in part (a) is applied with the same frequency. What is the new amplitude (in cm) of oscillation? cm . (c) What If? Repeat the same calculation as part (b), only now with a damping coefficient of b = 100 N s/m. (Enter the answer in cm.) cm (a) A device consists of an object with a weight of 30.0 N hanging vertically from a spring with a spring constant of 250 N/m. There is negligible damping of the oscillating system. Applied to the system is a harmonic driving force of 13.0 Hz, which causes the object to oscillate with an amplitude of 4.00 cm. What is the maximum value of the driving force (in N)? (Enter the magnitude.) 1209.3 Review the concept of resonance. What is the expression for the amplitude of a forced oscillator? What is the natural angular frequency in terms of the spring constant and mass? How is angular frequency related to frequency? How is weight related to mass? N (b) What If? The device is altered so that there is a damping coefficient of b = 5.00 N s/m. The hanging weight and spring constant remain the same. The same driving force as found in part (a) is applied with the same frequency. What is the new amplitude (in cm) of oscillation? cm . (c) What If? Repeat the same calculation as part (b), only now with a damping coefficient of b = 100 N s/m. (Enter the answer in cm.) cm

Answer rating: 100% (QA)

a The maximum value of the driving force can be calculated using the formula for resonance in a forc... View the full answer