How do I express each force of teh following spring in vector form and show that the position of the block is l0-(mg/2k)sin(alpha))

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- Apr 13th 2008, 05:47 AMmoolimanjOscillations - Model Springs
How do I express each force of teh following spring in vector form and show that the position of the block is l0-(mg/2k)sin(alpha))

- Apr 13th 2008, 07:03 AMmoolimanj
can some one please check I have this right?

each force in vector form is (N=normal force), W= Weight, H = spring force):

N=¦N¦.j

W=(W.i).i + (w.j).j = - ¦W¦sin(alpha)i + ¦W¦cos(alpha)j

H=-k(l-l0)s = -2k(x-l0)i (by hookes law)

To get the equilibrium I just made N+W+H = 0 and collected terms in i. I also replaced W by mg to get the equilibrium condition as shown - Apr 13th 2008, 09:20 AMtopsquark