Questions 6-13 refer to the figure below. The graph represents the position as a function of time for a small 1.20 kg object attached to a light spring that is oscillating on a smooth horizontal surface. Position (cm) 177TY 6. What is the amplitude of the motion (in cm)? 7. What is the period of the motion (in s)? 8. What is the frequency of the motion (in Hz)? 0.4 Time (s) 0.6 0.8

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ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Educational Content on Oscillatory Motion

**Understanding Oscillations:**

The figure represents the position of a 1.20 kg object attached to a light spring. This object is oscillating on a smooth horizontal surface.

**Graph Explanation:**
- **Axes**: The horizontal axis represents time in seconds (s), ranging from 0 to 0.8 s. The vertical axis represents position in centimeters (cm), ranging from -5 cm to 5 cm.
- **Graph Line**: The graph is sinusoidal, indicating the periodic nature of the oscillation. The object moves between approximately +4 cm and -4 cm.

**Questions:**

6. **What is the amplitude of the motion (in cm)?**

7. **What is the period of the motion (in s)?**

8. **What is the frequency of the motion (in Hz)?**

9. **What is the angular frequency of the motion (in rad/s)?**

10. **What is the spring constant of the spring (in N/m)? (Be aware of units!)**

11. **What is the maximum speed of the object (in m/s)?**

12. **What is the maximum acceleration of the object (in m/s²)?**

13. **If instead of attaching the 1.20 kg mass to the spring, we attach a mass of 2.4 kg. What is the new period (in s) of the motion?**

These questions guide the analysis of the oscillatory motion depicted in the graph, focusing on key aspects like amplitude, period, frequency, and related physical properties.
Transcribed Image Text:### Educational Content on Oscillatory Motion **Understanding Oscillations:** The figure represents the position of a 1.20 kg object attached to a light spring. This object is oscillating on a smooth horizontal surface. **Graph Explanation:** - **Axes**: The horizontal axis represents time in seconds (s), ranging from 0 to 0.8 s. The vertical axis represents position in centimeters (cm), ranging from -5 cm to 5 cm. - **Graph Line**: The graph is sinusoidal, indicating the periodic nature of the oscillation. The object moves between approximately +4 cm and -4 cm. **Questions:** 6. **What is the amplitude of the motion (in cm)?** 7. **What is the period of the motion (in s)?** 8. **What is the frequency of the motion (in Hz)?** 9. **What is the angular frequency of the motion (in rad/s)?** 10. **What is the spring constant of the spring (in N/m)? (Be aware of units!)** 11. **What is the maximum speed of the object (in m/s)?** 12. **What is the maximum acceleration of the object (in m/s²)?** 13. **If instead of attaching the 1.20 kg mass to the spring, we attach a mass of 2.4 kg. What is the new period (in s) of the motion?** These questions guide the analysis of the oscillatory motion depicted in the graph, focusing on key aspects like amplitude, period, frequency, and related physical properties.
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