Working with Springs: What Happens When Mass m1 is Pushed?

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When a force F is applied to mass m1, it will accelerate towards mass m2, causing compression in the spring connecting them. This compression generates a restoring force from the spring that acts on both m1 and m2. The system may experience oscillations as the force transitions from zero to a steady state. The accelerations of m1 and m2 can be related through equations of motion, assuming a frictionless surface and a massless spring. Understanding the dynamics of this interaction requires analyzing the forces and potential energy involved in the spring's compression.
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Spring force always creates a doubt in my mind...

My question is that..

When two masses say m1 and m2 are connected to each other via a massless spring...
m2 is ahead of m1...
if we push the block m1 towards m2 ..say with a force F..then what exactly will happen??

What i think is that the force F will cause m1 to accelerate ..a compression will be produced in the spring ..and the spring will in turn exert a force on m1 and m2 both..
 
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D_DaYwAlKeR said:
When two masses say m1 and m2 are connected to each other via a massless spring...
m2 is ahead of m1...
if we push the block m1 towards m2 ..say with a force F..then what exactly will happen??

What i think is that the force F will cause m1 to accelerate ..a compression will be produced in the spring ..and the spring will in turn exert a force on m1 and m2 both..

Yes, but it might get a bit complicated. If it goes from no force to a steady force F then I expect there will be some oscillation in the system.
 
haruspex said:
Yes, but it might get a bit complicated. If it goes from no force to a steady force F then I expect there will be some oscillation in the system.


But we can still relate the accelerations of m2 with that of m1..can't we??..

F is a steady force...
 
D_DaYwAlKeR said:
But we can still relate the accelerations of m2 with that of m1..can't we??..

F is a steady force...

Sure. Can you write the equations?
 
What i think is that the force F will cause m1 to accelerate

perhaps, perhaps not...m1 may not even move...unless work is done.

equations,and even some derivations, can be found here:

http://en.wikipedia.org/wiki/Spring_constant
 
Naty1 said:
perhaps, perhaps not...m1 may not even move...unless work is done.

equations,and even some derivations, can be found here:

http://en.wikipedia.org/wiki/Spring_constant

The suraces are frictionless and the spring is massless...both the masses will surely accelerate...

@haruspex : I could not write equation ...

Im not able to understand what is going to happen if we exert a force on m1...wat the spring will do after that...
 
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