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Spring motion - Position with respect to time in a simple harmonic motion

작성자 Uploader : deyoon 작성일 Upload Date: 2016-04-24변경일 Update Date: 2016-04-24조회수 View : 278

Position with respect to time in a simple harmonic spring motion

At an arbitrary time t, the position of an object in a simple harmonic spring motion can be expressed:

x = x0*cos(Wn*t)+(Vx/Wn)*(sin(Wn*t))

where,
k : spring constant
Wn : natural circular frequency
x0 : initial position of the object, prior to motion
Vx : velocity of the object at the position x0 (m/s)  
m : mass of the object (kg)  

When, x0 is zero, x is:
x = (Vx/Wn)*(sin(Wn*t))  

and
Wn = (k/m)^(1/2)

then,
x = (Vx/((k/m)^(1/2)))*(sin((k/m)^(1/2)*t))

*** 참고문헌[References] ***

No reference
x = (Vx/((k/m)^(1/2)))*(sin((k/m)^(1/2)*t))
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변수명 Variable 변수값 Value 변 수 설 명 Description of the variable




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