العثماني محمد نهيل محمد120090151وانشاء / تشيد الهندسة كلية

EXP:3 periodic motion Idea :: Study harmonic motion

:: Determination the gravity

Elements :: simple pendulum to Study harmonic motion and Determine the gravity

Steps :: we will move the pendulum and Determine the time period for 1 cycle

Calculations :: f=1/T t =1/f

f=am =-gm sin =a=-g sin and when sin is very small sin =y/L a=-g y/L

mg

mg

Mg s

in

TL

Mg cos

A

BC

If we take T=1s for 4 cycle thin for 1 cycle T=0.25y

SHM : simple harmonic motion

a=d²a/dt² =-g y/L

-= g y=-w²L

w²=g/L angular velocity

a=w² L

w²=(2П.L)/T T= (2П.L)/ w

T= 2П(L/g) ½

Practical experience and taking notes we got from

LTime for 20 cycle

Time fore 1 cycle

T²

15cm 15.400.770.5929

17cm16.880.8450.705

19cm17.130.860.762

21cm18.300.9170.840

23cm19.100.960.9216

Slope = y2-y1/x2-x1

Slope=a П²/g

T=2 П (L/g) ½ t²=4 П L/g ==(T/L) slope=4 П/g

Slope =4 П/g g=4 П/ Slope.

L²

y1

y2

x1 x2L