269 - 278

269

-

l -

0I

mgl , (1) I .

Imgl /2

tA cos . (2) /2 mgI /2

2

2mglI . (3)

270

1Tm , 1Tl 22 , TT lm

TLL lm ,

211122

TTLTTTLLTT

mmmlmlmlm . (4)

tn ntn / .

22/mgI .

f fI .

2mII o

l

gl

mglI

mglmlI

mglI oo 222 2 . (5)

271

cM

c

cI /2 , (6) I

Ic 224 . (7)

sE 4

2 os rlEMc . (8)

272

44 22/2

22osos rl

ErlEMc . (9)

c IrT

lcrlE

oos 424

22 . (10)

L m212/1 mLI mt

2dmI tt d

22 2121 dmmLI t . (11)

xbF

xbkxxm . (12) o , ( 2omk

mb 2 02 2xxx o . (13)

o o -

ttAtx o sinexp . (14)

o222 o

tAtA o exp .

TTtAtAk exp . (15)

273

: TTtA

tAk lnln . (16)

oAAt :0

--

---

,

F o .

274

tFf Fo cos xf xf

tFxxxm Fo cos . (17)

2/ omk 2/m oo fmF / .

tfxxx Foo cos2 2 . (18)

o

pFo xttAx cosexp . (19)

tAx Fp cos .

fAA FFo sin2cos22 ; 0cos2sin22 FFo AA . (20)

22

2Fo

Ftg , (21)

2222 4 FFo

fA . (22)

222 , 2orF . (23)

222 o

rfA . (24)

275

j.

6..

.

-

. e

). .

.

276

.

oo sx

oo sxkmg .

ooo gmRsxk sinsin oo Rs .

o

sxkRgmI '.. . (25) xo e e

sxkxm .. . (26)

2om

k 2oIgm . (27)

Rs12ImR

xRoo11 22 ,

277

Rxx oo 22 . (28)

21221 o 222 o .

tt ooooAo 221cos2

21cos ,

ttxxx ooooAo 221sin2

21sin . (29)

A f

fAAo

tt 2cos2cos ,

fAAottxxx 2sin2sin . (30)

R

278

122

AAxx . (31)

.

1.

2. 3.

School experiments on oscillations

Abstract: A few experiments on oscillation, which require bigger commitment from the students in both performing the experiment and using mathematical knowledge is shown in this paper. However, the laws of physics, which are visibly demonstrated, justify the invested effort. The conditions of oscillation of physical pendulum and the oscillation of torsion pendulum are analyzed. Also the oscillation in the case when amortization due to the effect of compulsory periodic force and coupled oscillation of two pendulums are analyzed too.

Keywords: oscillation, pendulum, resonance