# Simple Harmonic Motion Oscillations

## Physics Lab Manual

The purpose of this lab is to investigate Simple Harmonic Motion in two simple systems, a mass hanging on a spring and a simple pendulum.

## Part A: Mass on a Spring

1. Predict how the time for one oscillation (period) depends on the amplitude of the oscillation. (ie: 3 times amplitude =&gt; 3 times period, or 6 times period...)

2. Predict how the time for one period depends on the mass hanging on the spring.

### Mass constant - amplitude varied

3. Hang 100 g on the spring. Time ten oscillations for the following spring extensions. PLEASE don't overstretch the springs - they die very easily!

 amplitude 10 periods period 1.0 cm 2.0 cm 3.0 cm 4.0 cm 5.0 cm

### Amplitude constant - mass varied

4. Now keep the amplitude constant at 2.0 cm and change the hanging mass.

 mass 10 periods period 50 g 60 g 80 g 100 g 120 g

## Part B: Simple Pendulum

1. Predict how the time for one oscillation (period) depends on the angle of the oscillation. (ie: 3 times angle =&gt; 3 times period, or 6 times period...)

2. Predict how the time for one period depends on the length of the string

### Length constant - angle varied

3. Fix the string length to be 1.0 m. Measure the time for 10 oscillations at varying angles.

 angle 10 periods period 5° 10° 15° 30° 45°

### Angle constant - length varied

4. Now keep the angle constant at 15° and change the length of the string.

 length 10 periods period 1.0 m 0.75 m 0.50 m 0.25 m

## Conclusion

Summarize your findings regarding the period of motion and the variables in the mass and spring system and the simple pendulum system.