Motsamao o bonolo oa harmonic - mathata le litharollo

1. Ntho e thothomela ka maqhubu a 5 Hz ho ya ka ho le letona le ka ho le letshehadi. Ntho e tsamaya ho tloha ntlheng ya tekano ho ya ho maximum ho baleha ka ho le letona. Fumana nako e hlokahalang ho fihlella sebaka se phahameng ka ho fetisisa sa ho falla ka ho le letona ka makhetlo a leshome le motso o mong.

A. 2.05

B. 2.20

C. 2.25

D. 2.50

Tse tsejoang:

Frequency (f) = the amount of vibration for 1 second = 5 Hz

Period (T) = the time interval to do one vibration = 1/f = 1/5 = 0.2 seconds

Oa Batla: The time interval required to reach the maximum displacement at rightward eleven times

Tharollo:

Simple harmonic motion - problems and solutions 1The pattern of the object vibration :

(1 vibration) : B → C → B → A → B

For one vibration, the object performs four vibrations that are B to C, C to B, B to A, A to B. The time interval required for a single vibration is 0.2 seconds / 4 = 0.05 seconds.

bona le  Matla a ka bang teng – mathata le ditharollo

The time interval required to reach the maximum displacement at rightward eleven times = (10 x 0.2 seconds) + 0.05 seconds = 2 seconds + 0.05 seconds = 2.05 seconds.

Karabo e nepahetseng ke A.

2. A spring is hung with an object and vibrated. For the vibration frequency to double the original vibration frequency, then the mass of the object is changed to…

A. twice the mass of the original load

B. four times the mass of the original load

C. half the load mass time

D. a quarter of the original load mass

Tharollo:

The equation of the frequency of the spring’s vibration :

Simple harmonic motion - problems and solutions 2

f = frequency, k = constant, m = mass of object

bona le  Tekano ea 'mele e sekametseng - ts'ebeliso ea mathata le litharollo tsa molao oa pele oa Newton

Frequency (f) of spring’s vibration if k = 1 time, m = 1 time :

Simple harmonic motion - problems and solutions 3

For the frequency of (f) the spring vibration to be twice the mass (m) is changed to 0.25 times or 1/4 times:

Simple harmonic motion - problems and solutions 4

Karabo e nepahetseng ke D.

3. A spring with a constant k = 1000 N / m is hung with an object with a mass of 400 grams. The object is pulled to the right as far as 5 cm, then released, so the object is simple oscillating harmonics. Determine the amplitude and frequency of the object oscillation.

Simple harmonic motion - problems and solutions 5

Tse tsejoang:

Spring’s constant (k) = 1000 N/m

Boholo of object (m) = 400 gram = 0.4 kg

Amplitude (Δx) = 5 cm = 0.05 m

Ho batloa: Amplitude and frequency of oscillation

bona le  Tefiso ea motlakase e bolokiloeng ka har'a capacitor - mathata le litharollo

Tharollo:

The amplitude of spring oscillation = Δx = 5 cm.

The frequency of oscillation :

Simple harmonic motion - problems and solutions 6

Karabo e nepahetseng ke B.

Leave a Comment