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2) Consider a spring that has a spring constant15 N/m hanging from a rigid bar. A 0.5 kg ball is attached to the spring and it is allowed to come to rest. It is then pulled down 6 cm and it is released. It is observed that the ball amplitude of oscillations decreases to 3 cm after 30 seconds. a) Assuming that the damping constant is too negligible to affect the frequency of oscillations, compute the period of oscillations. b) Calculate the time constant t of this oscillator. c) How long it will take the initial energy of the oscillator to be reduced to its quarter?

2) Consider a spring that has a spring constant15 N/m hanging from a rigid bar. A 0.5 kg ball is attached to the spring and it is allowed to come to rest. It is then pulled down 6 cm and it is released. It is observed that the ball amplitude of oscillations decreases to 3 cm after 30 seconds. a) Assuming that the damping constant is too negligible to affect the frequency of oscillations, compute the period of oscillations. b) Calculate the time constant t of this oscillator. c) How long it will take the initial energy of the oscillator to be reduced to its quarter?

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2) Consider a spring that has a spring constant15 N/m hanging from a rigid bar. A 0.5 kg ball is attached to the spring and it is allowed to come to rest. It is then pulled down 6 cm and it is released. It is observed that the ball amplitude of oscillations decreases to 3 cm after 30 seconds. a) Assuming that the damping constant is too negligible to affect the frequency of ocillations, compute the period of oscillations. b) Calculate the time constant t of this oscillator. c) How long it will take the initial energy of the oscillator to be reduced to its quarter? d) What is the damping constant of the medium through which the oscillator is moving? e) Show that it was justifiable to assume the natural frequency for oscillations.
Transcribed Image Text:2) Consider a spring that has a spring constant15 N/m hanging from a rigid bar. A 0.5 kg ball is attached to the spring and it is allowed to come to rest. It is then pulled down 6 cm and it is released. It is observed that the ball amplitude of oscillations decreases to 3 cm after 30 seconds. a) Assuming that the damping constant is too negligible to affect the frequency of ocillations, compute the period of oscillations. b) Calculate the time constant t of this oscillator. c) How long it will take the initial energy of the oscillator to be reduced to its quarter? d) What is the damping constant of the medium through which the oscillator is moving? e) Show that it was justifiable to assume the natural frequency for oscillations.
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