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A 2.6kg mass is a attached to a spring with a stiffness of 410N/m. In the picture on the left side, the system is in equilibrium. A student then displaces the spring downward to the position as shown. Neglect friction and drag. What is the period of the harmonic motion? unit v What is the frequency of the harmonic motion? unit How many cycles would the system make in 55s? (You may answer with a decimal) 37cm What is the minimum length (L) of the spring as it ocillates? cm How far does the mass travel during one period? cm 44cm

A 2.6kg mass is a attached to a spring with a stiffness of 410N/m. In the picture on the left side, the system is in equilibrium. A student then displaces the spring downward to the position as shown. Neglect friction and drag. What is the period of the harmonic motion? unit v What is the frequency of the harmonic motion? unit How many cycles would the system make in 55s? (You may answer with a decimal) 37cm What is the minimum length (L) of the spring as it ocillates? cm How far does the mass travel during one period? cm 44cm

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A 2.6 kg mass is attached to a spring with a stiffness of 410 N/m. In the picture on the left side, the system is in equilibrium. A student then displaces the spring downward to the position as shown. Neglect friction and drag. What is the period of the harmonic motion? - [Input box] [Unit dropdown] What is the frequency of the harmonic motion? - [Input box] [Unit dropdown] How many cycles would the system make in 55s? - [Input box] (You may answer with a decimal) What is the minimum length (L) of the spring as it oscillates? - [Input box] cm How far does the mass travel during one period? - [Input box] cm **Diagrams Explanation:** 1. **Equilibrium Position:** - On the far left, a spring is suspended from the ceiling with a 2.6 kg mass at rest in equilibrium. The spring extends to 37 cm. 2. **Displaced Position:** - In the middle, the spring is shown stretched to its maximum displacement at 44 cm. The mass is further away from the ceiling, indicating that the spring has been pulled down before release. 3. **Oscillation Path (Not explicitly shown):** - The spring would oscillate between the minimum and maximum lengths shown (from 37 cm to 44 cm), with the length L representing the minimum spring length during oscillation. The mass travels a path related to the deformation range of the spring during its motion.
Transcribed Image Text:A 2.6 kg mass is attached to a spring with a stiffness of 410 N/m. In the picture on the left side, the system is in equilibrium. A student then displaces the spring downward to the position as shown. Neglect friction and drag. What is the period of the harmonic motion? - [Input box] [Unit dropdown] What is the frequency of the harmonic motion? - [Input box] [Unit dropdown] How many cycles would the system make in 55s? - [Input box] (You may answer with a decimal) What is the minimum length (L) of the spring as it oscillates? - [Input box] cm How far does the mass travel during one period? - [Input box] cm **Diagrams Explanation:** 1. **Equilibrium Position:** - On the far left, a spring is suspended from the ceiling with a 2.6 kg mass at rest in equilibrium. The spring extends to 37 cm. 2. **Displaced Position:** - In the middle, the spring is shown stretched to its maximum displacement at 44 cm. The mass is further away from the ceiling, indicating that the spring has been pulled down before release. 3. **Oscillation Path (Not explicitly shown):** - The spring would oscillate between the minimum and maximum lengths shown (from 37 cm to 44 cm), with the length L representing the minimum spring length during oscillation. The mass travels a path related to the deformation range of the spring during its motion.
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