Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping

When two bodies of masses m and M respectively are connected by a light string. masses m & M are moving with velocities v & u in opposite direction respectively. maximum compression of spring is

10 years ago

Answers : (1)

Rohith Gandhi
24 Points

Dear Arshad,

As the masses m and M connected by a light spring are moving towards each other, the spring keeps on compressing as long as they move towards each other. Hence the compression keeps on increasing as long as the  masses move towards each other.

This means that, when the two masses come to rest the spring no longer undergoes any further compression hence it reached its maximum compression when both the masses come to rest.

using conservation of energy, ( as there isn't any non conservative force ), initially the energy of the masses plus spring system is,

E initial  = 1/2 mv² + 1/2Mu²

Finally the Kinetic energies are zero and they are converted to spring potential energy

E final = 1/2 kXmax2 where Xmax is the maximum compression in the spring

E initial = E final from conservation of energy

from this equation we can find maximum compression of the spring, if variables m,M,v,u and k are given.

Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
are all IITians and here to help you in your IIT JEE preparation.

All the best arshad !!!


Askiitians Experts

Rohith Gandhi


10 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Course Features

  • 101 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution

Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details