|
zuò cí : wú |
|
zuò qǔ : DR1N0 |
|
Here are some important definitions. |
|
zhèi xiē shì dìng yì. |
|
Displacement: |
|
wèi yí: |
|
R Re j |
|
All particles of a body move in parallel planes and travel by same distance is known as linear displacement. |
|
wù tǐ suǒ yǒu lì zǐ zài píng xíng de píng miàn nèi yí dòng xiāng tóng jù lí chēng wéi xiàn wèi yí. |
|
A body rotating about a fixed point in such a way that all particles move in circular path is known as angular displacement. |
|
wù tǐ hé tā suǒ yǒu de lì zǐ rào gù dìng diǎn yán yuán zhōu lù jìng yí dòng chēng wéi jiǎo wèi yí. |
|
If we take the first order derivative of the displacement equation, we get: |
|
wèi yí fāng chéng duì shí jiān qiú yī jiē dǎo shù dé: |
|
d dt Re j R' e j Re j j' R' e j R' je j |
|
The angular velocity |
|
jiǎo sù dù |
|
w d dt. |
|
The linear velocity |
|
xiàn sù dù |
|
v dR dt. |
|
Acceleration, the rate of change of velocity. |
|
jiā sù dù shì sù dù de biàn huà lǜ. |
|
Now we take the second order derivative of the displacement equation, we get: |
|
wèi yí fāng chéng duì shí jiān qiú èr jiē dǎo shù dé: |
|
d 2 dt 2 Re j R'' e j R'' je j R'' R'' je j R' je j j' R'' e j 2' R' je j'' Rje j R' 2 e j |
|
The angular acceleration |
|
jiǎo jiā sù dù |
|
'' dw dt |
|
The linear acceleration |
|
xiàn jiā sù dù |
|
a R'' dv dt |
|
Here' s a simple case. |
|
jǔ gè lì zi. |