Koyo da Pendulum - yadda za a samu tsawon wani sauki Pendulum oscillation

A iri-iri na oscillatory matakai cewa kewaye da mu, sosai cewa shi ne m - kuma akwai wani abu da ba ya canza? Wuya, tun ma quite immovable abu, ce wani dutse, wanda shi ne na shekaru dubbai ne har yanzu, har yanzu oscillates matakai - lokaci zuwa lokaci heats sama a lokacin da rana, da kara, da kuma da dare cools kuma shrinks. Kuma mafi kusa misali - itatuwa da kuma rassan - jere tirelessly duk rayuwarsa. Amma sa'an nan - dutse, da na itace. Kuma idan kun kawai wind matsa lamba jeri daga 100 labarin gini? An sani, misali, cewa saman Ostankinskaya hasumiya ne deflected baya da kuma fitar a 5-12 mita, da kyau fiye da babu Pendulum 500 m high. Kuma har zuwa ƙaruwa a size kama gini daga zazzabi bambance-bambance? Ga shi ne yiwu ga rarraba da kuma vibration na inji da kuma sunadaren hasumiyarki. Kamar zaton, da jirgin saman a cikin abin da kuka tashi ci gaba dabam. Kada canza tunani zuwa tashi? Ba lallai ba ne, domin da hawa da sauka - shine jigon duniya kewaye da mu, ba za mu iya rabu da su - ba za su iya kawai za a ɗauke shi zuwa lissafi kuma yi amfani da "mai kyau ga".

Kamar yadda ya saba, nazarin mafi hadaddun yankunan na ilimi (da suka kawai ba ya faru) ta fara da wani gabatarwar zuwa sauki model. Kuma akwai wani sauki kuma mafi m ga ji model na oscillatory tsari, fiye da Pendulum. A nan ne, a cikin binciken kimiyyar lissafi, mu farko ji wannan m jumlar - "lokaci na oscillation na wani sauki Pendulum." Pendulum - shi ne thread kuma load. Kuma abin da wannan irin na musamman Pendulum - lissafi? A sosai sauki, wannan Pendulum ana tsammanin cewa thread ba shi da nauyi na ba-Kalmomin, da kuma kayan aya kumburin ƙarƙashin rinjayar nauyi. Gaskiyar ita ce, yawanci, la'akari da wani tsari, misali, da vibrations ba zai iya zama gaba daya cikakken lissafi na jiki halaye kamar nauyi, elasticity, da dai sauransu All mahalarta a cikin gwaji. A lokaci guda, da tasirin wasu daga cikinsu a cikin tsari ne negligible. Alal misali, a priori an fahimci cewa Pendulum nauyi da kuma elasticity yarn karkashin wani yanayi da ba m sakamako a kan lokaci na oscillation na ilmin lissafi Pendulum ne negligibly kananan, saboda haka su da tasiri aka cire daga shawara.

Tabbatar da dalilin da tsawon oscillation na Pendulum, idan ba da mafi sauki kawai aka sani shi ne wannan: da lokaci - lokaci, a lokacin da daukan sanya daya cikakken oscillation. Bari mu yi alama a daya daga cikin matsananci maki na motsi na kaya. Yanzu duk lokacin da wani batu da aka rufe, yin kirgawa yawan cikakken oscillations da kuma lura da lokaci na, ka ce, 100 vibrations. Ƙayyade da duration na daya lokaci ne mai karye. Mun gudanar da wannan gwaji ga oscillating a daya jirgin sama na Pendulum a cikin wadannan lokuta:

- daban-daban na farko mawadãta.

- daban-daban kaya nauyi.

Za mu samu mai ban mamaki sakamakon farko duba: a dukkan lokuta, lokacin da wani sauki Pendulum oscillation ya zauna canzawa. A wasu kalmomin, da mawadãta, kuma da farko taro na kasa aya a kan tsawon lokacin da ba exert tasiri. Domin kara tattaunawa daya ne kawai downside - saboda load tsawo lokacin da tuki canji, sa'an nan da tanadi karfi tare da hanyar m, wanda shi ne m ga lissafin. Dan kadan yaudara - Tura Pendulum ma a cikin su kẽta shugabanci - shi zai fara zuwa bayyana a conical surface, da lokacin T na juyawa kasance iri guda, da gudun motsi tare da karkara V - m karkara, tare da motsa wani kaya S = 2πr, a maido da karfi directed tare da radius.

Sa'an nan kuma muka lissafta da lokaci na oscillation na wani sauki Pendulum:

T = S / V = 2πr / v

Idan tsawon na thread l muhimmanci fiye da kaya size (a kalla 15-20 sau), da kuma thread kwana na son ne kananan (kananan mawadãta), za mu iya ɗauka cewa tanadi karfi P ne daidaita da centripetal karfi F:
P = F = m * V * V / r

A daya hannun, lokacin da tanadi karfi da kuma lokacin da inertia na load ne daidai, sa'an nan

P * l = r * (m * g), wanda yana nuna shan la'akari da cewa P = F, wadannan lissafi: r * m * g / l = m * v * v / r

Ba wuya a samu da gudu daga cikin Pendulum: v = r * √g / l.

Kuma yanzu tuna da sosai farko magana ga zamani da kuma musanya da darajar da gudu:

T = 2πr / r * √g / l

Bayan canji dabara lokaci maras muhimmanci ilmin lissafi Pendulum oscillation a karshe nau'i ne kamar haka:

T = 2 π √ l / g

Yanzu baya gwaje samu sakamakon da 'yancin kai na oscillation lokaci na da nauyin da kaya da kuma mawadãta aka tabbatar a wani analytical tsari da kuma ba ze zama haka "ban mamaki", kamar yadda suka faɗa, kamar yadda ake bukata.

Daga cikin abubuwan, zalunta karshen magana ga tsawon oscillation na ilmin lissafi Pendulum, za ka iya ganin wani kyakkyawan zarafi don auna da hanzari na nauyi. Shi ya ishe su tara a reference Pendulum a kowane batu na duniya da kuma auna tsawon ta oscillations. Kuma haka, quite kwatsam, mai sauki da kuma saukin ganewa Pendulum ya ba mu da wani kyakkyawan zarafi ga karatu da rarraba da yawa daga Duniya ta ɓawon burodi, har zuwa bincika duniya ma'adinai adibas. Amma shi ke wani labari.