1. A 2-kg mass is suspended from an ideal linear spring with a spring constant of 500-N/m. From equilibrium, the mass is raised upward by 1-cm and then let go of. (a) What is the angular frequency of the oscillations that ensue? (b) What is the frequency of the oscillations? (c) What is the period of the oscillations? (d) What is the total energy of the mass/spring system? (e) What is the speed of the mass as it passes through the equilibrium position? Answers: (a) 15.8 rad/s (b) 2.51 Hz (c) 0.398 s (d) 0.025 J (e) 0.158 m/s

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1. A 2-kg mass is suspended from an ideal linear spring with a spring constant of 500-N/m. From
equilibrium, the mass is raised upward by 1-cm and then let go of. (a) What is the angular
frequency of the oscillations that ensue? (b) What is the frequency of the oscillations? (c) What is
the period of the oscillations? (d) What is the total energy of the mass/spring system? (e) What is
the speed of the mass as it passes through the equilibrium position?
Answers: (a) 15.8 rad/s (b) 2.51 Hz (c) 0.398 s (d) 0.025 J (e) 0.158 m/s
Transcribed Image Text:1. A 2-kg mass is suspended from an ideal linear spring with a spring constant of 500-N/m. From equilibrium, the mass is raised upward by 1-cm and then let go of. (a) What is the angular frequency of the oscillations that ensue? (b) What is the frequency of the oscillations? (c) What is the period of the oscillations? (d) What is the total energy of the mass/spring system? (e) What is the speed of the mass as it passes through the equilibrium position? Answers: (a) 15.8 rad/s (b) 2.51 Hz (c) 0.398 s (d) 0.025 J (e) 0.158 m/s
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