LAB10

1. Consider the equation for the simple harmonic motion, y = A sin (wt+phi). If the phase angle f is zero, where is the mass when the oscillation starts (i.e. what is y coordinate at t=0)? - If we increase the oscillating mass the from equation( 1) we can find that frequency of oscillation will be decrease 2. If you increase the value of the oscillating mass, does the frequency of oscillation increase of decrease? Explain. - If we increase the oscillating mass the from equation( 1) we can find that frequency of oscillation will be decrease 3. If the frequency of oscillation decreases, does it take longer or shorter to make one complete oscillation? Explain. - he frequency of oscillation decreases. We need to tell whether it takes longer or shorter to make one complete oscillation. As we can see there is an inverse relationship between frequency and time period. It means when the frequency of an oscillation decreases then its Time period will increase. Hence, we conclude that it will take longer to complete an oscillation if the frequency of an oscillation decreases. Mass of the iOLab device m = 1.85 kg Spring Constant k = 99.07 Run # Total mass m tot ( kg) Time for 4 cycles Period T (s) Freq. f =1 /T (HZ) Angular Freq. � Theoretical 1 m 3.148 0.787 1.271 7.99 23.141 2 m+0.05kg 3.520 0.88 1.136 7.138 20.532 3 m +0.1 kg 3.860 0.965 1.036 6.509 18.64 4 m 3.190 0.7.98 1.25 7.873 23.141

Run 1 Run 2 Run 3 Run 4

The frequency obtained from the analysis for run 1 is 1.271. 5. How much damping do you get in 10 cycles? You can give the % reduction in the amplitude between the first peak and the 10 th peak. The 11th peak is 1.388, in the first peak is 1.418, so therefore 1.388÷1.418 equals 0.0980 to damping.