Here's another Q I'm stuck on:(adsbygoogle = window.adsbygoogle || []).push({});

"Two particles P1 and P2 of equal mass m are connected to springs as in the diagram below.

Q__

/

\

/

* p1

\

/

\

* p2

/

\

/

\

__0

The springs are identical, each having natural length l and modulus [tex]\lambda[/tex]. The fixed point Q is at a height L vertically above the fixed point O (L > 3l). Take the origin of coordinates at O and the z-axis vertically upwards and let c be the z-coordinate of the centre of mass of the particles.

The particles are in motion. Suppose that the particles remain on the z-axis throughout the motion. Show that c satisfies the equation

[tex]\ddot{c} = ( \frac {\lambda L} {2lm} - g ) - \frac { \lambda} {lm} c[/tex]

[You should assume that acceleration due to gravity, g, is constant and that the springs obey Hooke's law throughout the motion.]"

I don't know where to begin on this one.

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# Homework Help: Springs Q

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