- #1

julian92

- 24

- 0

**Simple Harmonic Motion .. an Object Attached to a Spring!**

Hi everybody .. I'm glad that i joined this forum so that i can help people and benefit at the same time :) .. i wanted to start with this problem right here ,, and hope that i get the hand from you :)

it's a question I've been working on for about a week and still no use ... and i really appreciate it if somebody just give some help soon

## Homework Statement

it's basically about two masses: m1 & m2 ,,, if m1 is the only mass attached to the end of a spring which is on a frictionless surface ,, and m2 is near m1 but not attached to anything..

The spring is disturbed from its equilibrium position because of a pushing force directed to the left (by a hand for example) with the two masses near each other ... if the force is released .. the spring will exert a restoring force (F.elastic) directed toward the equilibrium position (which is on the right of the masses) .. now the masses will go to the right near each other to a point where they will separate because m2 is not attached to m1 or to the spring ..

the questions are :

1- when will the two masses separate (m2 leave and separate from m1)

2- calculate the time needed for m1 (which is only left after m2 had left the system) to get back to its starting place on the left of the equilibrium position..

I'm sure the answer to the question won't be a number because there are no information enough to the get just a number in the solution ,, but the question is just right and there are no mistakes or lacks of data in it .. and i think the answer to the first question may consists of a proportion of the Period (T) but I'm not sure!

## Homework Equations

NOTE ..

Check the attached Photo ,, and these laws may help you:

T = 2 [tex]\Pi[/tex] [tex]\sqrt{\frac{m}{k}}[/tex] or T = 2(pi)(sqrt(m/k))

HOOKE’S LAW: Fe = -kx

and other laws of motion and forces

Thanks in advance :D ,, and to anybody who would try to help me out :-)

i'll be glad to show me the way of solving :)

## The Attempt at a Solution

i couldn't get anywhere trying to solve this problem for almost a week !

#### Attachments

Last edited: