## Hooke's Law and Single Harmonic Motion### B. Spring Elongation**DATA TABLE 2**| Total suspended weights (N) | Scale reading (m) ||-----------------------------|-------------------|| m₁g (0.100 kg)g | y₁ 0.003 || m₂g (0.200 kg)g | y₂ 0.025 || m₃g (0.300 kg)g | y₃ 0.045 || m₄g (0.400 kg)g | y₄ 0.068 || m₅g (0.500 kg)g | y₅ 0.091 || m₆g (0.600 kg)g | y₆ 0.113 || m₇g | |- **k (slope of graph):** ___________ (units)### C. Period of Oscillation**DATA TABLE 3**| Total suspended mass (kg) | Total time (s) | Number of oscillations | Average period (s) | T² (s²) ||---------------------------|----------------|------------------------|--------------------|----------|| m₁ 0.500 | 12.85 | 20 | 0.64 | 0.41 || m₂ 0.400 | 11.62 | 20 | 0.58 | 0.34 || m₃ 0.300 | 10.29 | 20 | 0.51 | 0.26 || m₄ 0.200 | 8.26 | 20 | 0.41 | 0.17 |- **Slope of graph:** ___________ (units)- **Computed spring constant k:** ___________ (units)- **Percent difference of k:** ___________ ### Explanation of Graphs and Tables- **Data Table 2** presents measurements of spring elongation. It details how different weights, when suspended, cause varying extensions measured by scale readings.- **Data Table 3** displays information on oscillation periods. It includes multiple columns detailing the total suspended mass, total time of oscillations

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Description: ## Hooke's Law and Single Harmonic Motion### B. Spring Elongation**DATA TABLE 2**| Total suspended weights (N) | Scale reading (m) ||-----------------------------|-------------------|| m₁g (0.100 kg)g | y₁ 0.003 || m₂g (0.200 kg

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Hooke's Law and Single Harmonic Motion B. Spring Elongation DATA TABLE 2 Total suspended weights (N) (0.100 kg)g (0.200 kg)g (0.300 kg)g (0.400 kg)g (0.500 kg)g (0.600 kg)g Scale reading (m) m¡g y1 0.003 m2g y2 0.025 m3g Уз 0.045 m4g y4 0.068 m5g ys 0.091 m6g y6 0.113 m7g k (slope of graph) (units) C. Period ofOscillation DATA TABLE 3 T° (s²) Total suspended mass (kg) Total time Number of Average period (s) 0.64 (s) oscillations mị 0.500 12.85 20 0.41 m2 0.400 11.62 20 0.58 0.34 m3 0.300 10.29 20 0.51 0.26 m4 0.200 8.26 20 0.41 0.17 slope of graph computed spring constant k (units) _(units) percent difference of k

Hooke's Law and Single Harmonic Motion B. Spring Elongation DATA TABLE 2 Total suspended weights (N) (0.100 kg)g (0.200 kg)g (0.300 kg)g (0.400 kg)g (0.500 kg)g (0.600 kg)g Scale reading (m) m¡g y1 0.003 m2g y2 0.025 m3g Уз 0.045 m4g y4 0.068 m5g ys 0.091 m6g y6 0.113 m7g k (slope of graph) (units) C. Period ofOscillation DATA TABLE 3 T° (s²) Total suspended mass (kg) Total time Number of Average period (s) 0.64 (s) oscillations mị 0.500 12.85 20 0.41 m2 0.400 11.62 20 0.58 0.34 m3 0.300 10.29 20 0.51 0.26 m4 0.200 8.26 20 0.41 0.17 slope of graph computed spring constant k (units) _(units) percent difference of k

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

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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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

Topic Video

Question

## Hooke's Law and Single Harmonic Motion

### B. Spring Elongation

**DATA TABLE 2**

| Total suspended weights (N) | Scale reading (m) |
|-----------------------------|-------------------|
| m₁g (0.100 kg)g | y₁ 0.003 |
| m₂g (0.200 kg)g | y₂ 0.025 |
| m₃g (0.300 kg)g | y₃ 0.045 |
| m₄g (0.400 kg)g | y₄ 0.068 |
| m₅g (0.500 kg)g | y₅ 0.091 |
| m₆g (0.600 kg)g | y₆ 0.113 |
| m₇g | |

- **k (slope of graph):** ___________ (units)

### C. Period of Oscillation

**DATA TABLE 3**

| Total suspended mass (kg) | Total time (s) | Number of oscillations | Average period (s) | T² (s²) |
|---------------------------|----------------|------------------------|--------------------|----------|
| m₁ 0.500 | 12.85 | 20 | 0.64 | 0.41 |
| m₂ 0.400 | 11.62 | 20 | 0.58 | 0.34 |
| m₃ 0.300 | 10.29 | 20 | 0.51 | 0.26 |
| m₄ 0.200 | 8.26 | 20 | 0.41 | 0.17 |

- **Slope of graph:** ___________ (units)
- **Computed spring constant k:** ___________ (units)
- **Percent difference of k:** ___________

### Explanation of Graphs and Tables

- **Data Table 2** presents measurements of spring elongation. It details how different weights, when suspended, cause varying extensions measured by scale readings.
- **Data Table 3** displays information on oscillation periods. It includes multiple columns detailing the total suspended mass, total time of oscillations

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