Exercises on Oscillations and Waves Exercise 1 - CPP

Exercises on Oscillations and WavesExercise find a spring in the laboratory. When you hang 100 grams at the end of the springit stretches 10 cm. You pull the 100 gram mass 6 cm from its equilibrium position andlet it go att= 0. Find an equation for the position of the mass as a function of first find the period of the Oscillations , then we can obtain an equation forthe motion. The periodT= 2 m/k. The massmis Kg. To findk, we use thefact that 100 grams causes the spring to stretch an additional 10 cm. SinceF=k x,we havemg=k ( ) =k( )k= period of the motion is thereforeT= 2 Att= 0 themass is at its maximum distance from the origin.

Lets rst nd the period of the oscillations, then we can obtain an equation for the motion. The period T= 2ˇ q m=k. The mass mis 0:1 Kg. To nd k, we use the fact that 100 grams causes the spring to stretch an additional 10 cm. Since F= k x, we have mg = k x 0:1(9:8) = k(0:1) k = 9:8 N=m The period of the motion is therefore T = 2ˇ q 0:1=9:8 ...

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