I have asked this question before, but couldn't get a satisfactory response.(adsbygoogle = window.adsbygoogle || []).push({});

Let me make the problem more concise.

We have a two particle system, i.e. two masses of mass m each joined together by a spring of spring constant k.

A force F is applied to one of these particles in a direction perpendicular to that of the spring joining the two masses.

As the spring constant tends to infinity, the system behaves as two masses joined by a rigid rod.

Prove, (without using the kinematic approches of torque, ang. momentum et al) that the trajectory followed by the two masses, as viewed from the C.O.M. frame would be a circle centered at the C.O.M. and find out the angular velocity or acc.

You can not use the usual approches of finding the torque.

Prove the trajectory using anything but the torque or ang. momentum eq.'s

Even if you dont solve this here, please atleast tell me wether it is solvable or not. And if it is, what topics are needed as a prerequisite?

Can lagrangian mechanics solve my above problem? or theories which deal with elasticity?

And if they can, please give me some references so that I can look up.

Thanks

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# Proving rotational motion using newton's laws

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