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현재 위치

The force that pulls an object connected to two springs

작성자 Uploader : doturak 작성일 Upload Date: 2023-07-05변경일 Update Date: 2023-07-05조회수 View : 90

As shown in the figure, find the force F (N) required to stretch an object connected to two springs of length L (m) and spring constant of k (N/m) by x (m).
The object lies on a frictionless plane, the initial position is x=0, and the force acting on the spring is Fs=0.

Length of spring stretched

dL = sqr(L^2+x^2)-L

the force acting on the spring

Fs = k*dL = k*(sqr(L^2+x^2)-L)

Force in the x direction of Fs

Fsx = Fs*x/(L+dL) = k*(sqr(L^2+x^2)-L)*x/sqr(L^2+x^2)

Since there are two springs,

F = 2*Fsx = 2*k*(sqr(L^2+x^2)-L)*x/sqr(L^2+x^2)

*** 참고문헌[References] ***

F = 2*k*(sqr(L^2+x^2)-L)*x/sqr(L^2+x^2)


변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

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현재 위치

The force that pulls an object connected to two springs

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