N1=1 N2=10 N3=4 = 3. A damped harmonic oscillator involves a block (m 3N₂ kg), a spring (k (10+N3) N/m), and a damping force F=- rv. Initially it oscillates with an amplitude of 0.5 m; because of the damping, the amplitude falls to three-fourths of its initial value after five complete cycles. (a) What is the value of r? (b). How much energy is lost during these five cycles? [3]
N1=1 N2=10 N3=4 = 3. A damped harmonic oscillator involves a block (m 3N₂ kg), a spring (k (10+N3) N/m), and a damping force F=- rv. Initially it oscillates with an amplitude of 0.5 m; because of the damping, the amplitude falls to three-fourths of its initial value after five complete cycles. (a) What is the value of r? (b). How much energy is lost during these five cycles? [3]
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