Kufamba kuri nyore kweharmonic - matambudziko nemhinduro

1. Chinhu chinodedera nefrequency ye5 Hz kuenda kurudyi nekuruboshwe. Chinhu chinofamba kubva pakuenzana kuenda pakufambiswa kwepamusoro kurudyi . Sarudza nguva inodiwa kuti usvike pakufambiswa kwepamusoro kurudyi kagumi nerimwe.

A. 2.05

B. 2.20

C. 2.25

D. 2.50

Zvinozivikanwa:

Kuwanda kwezwi (f) = huwandu hwekudengenyeka kwesekondi imwe = 5 Hz

Nguva (T) = nguva yekutenderera kamwe chete = 1/f = 1/5 = 0.2 masekondi

Zvinodiwa: Nguva inodiwa kuti usvike pakufambiswa kwepamusoro-soro kurudyi kagumi nerimwe

Solution:

Kufamba kuri nyore kweharmonic - matambudziko nemhinduro 1Maitiro ekudedera kwechinhu:

(1 kudedera) : B → C → B → A → B

Pakuzununguka kumwe chete, chinhu chinoita kuzununguka kunana kunoti B kusvika C, C kusvika B, B kusvika A, A kusvika B. Nguva inodiwa kuti kuzununguka kumwe chete ive 0.2 seconds / 4 = 0.05 seconds.

Nguva inodiwa kuti usvike pakuchinjika kukuru kurudyi kagumi nerimwe = (10 x 0.2 seconds) + 0.05 seconds = 2 seconds + 0.05 seconds = 2.05 seconds.

Mhinduro chaiyo ndeinoti A.

2. Chitubu chinoturikwa nechinhu chodedera. Kuti frequency yekudedera iwedzere kaviri frequency yekudedera yekutanga, ipapo huremu hwechinhu hunochinjwa kuita…

A. huremu hwakapetwa kaviri hwemutoro wekutanga

B. huremu hwakapetwa kana kupfuura hwemutoro wekutanga

C. hafu yenguva yehuremu hwemutoro

D. chikamu chimwe muzvina chehuremu hwemutoro wekutanga

Solution:

Kuenzanisa kwehuwandu hwekudengenyeka kwechitubu:

Kufamba kuri nyore kweharmonic - matambudziko nemhinduro 2

f = frequency, k = constant, m = huremu hwechinhu

Kuwanda (f) kwekuzunguzika kwechitubu kana k = 1 nguva, m = 1 nguva :

Kufamba kuri nyore kweharmonic - matambudziko nemhinduro 3

Kuti frequency ye (f) spring vibration ive kaviri, huremu (m) hunochinjwa kuita 0.25 times kana 1/4 times:

Kufamba kuri nyore kweharmonic - matambudziko nemhinduro 4

Mhinduro chaiyo ndiD.

3. Chitubu chine k = 1000 N/m chinoturikwa nechinhu chine huremu hwemagiramu 400. Chinhu chacho chinodhonzwa kurudyi kusvika pa5 cm, chobva chaburitswa, saka chinhu chacho chinongoerekana chachinja . Sarudza amplitude uye frequency yekushanduka kwechinhu.

Kufamba kuri nyore kweharmonic - matambudziko nemhinduro 5

Zvinozivikanwa:

Chimiro chemuchirimo (k) = 1000 N/m

Huremu hwechinhu (m) = magiramu 400 = 0.4 kg

Kukura kwehukuru (Δx) = 5 cm = 0.05 m

Zvinodiwa: Kukura uye kuwanda kwekufamba-famba

Solution:

Hukuru hwekutenderera kwechitubu = Δx = 5 cm.

Kuwanda kwekufamba-famba:

Kufamba kuri nyore kweharmonic - matambudziko nemhinduro 6

Mhinduro chaiyo ndeiyi B.

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