# M4 Damped and Forced Harmonic OscillationsWatch

Announcements
Thread starter 4 years ago
#1
This is question 9 from Exercise 4A of the old Edexcel M4 Textbook:

A light spring , having natural length and modulus of elasticity , lies straight and at its natural length at rest on a horizontal table. A particle of mass is attached to the end .
The end is then moved in a straight line in the direction with constant speed . The resulting motion of the particle is resisted by a force of magnitude where is the speed of the particle. If is the extension of the spring at time , show that

Obtain in terms of .

I have done the first part of the question have got an answer for the second part of the question of: , by using the initial conditions of , when .

However, the answer given in the book is which seems to have used an initial condition of when .

So, which initial condition is correct for this situation?
0
4 years ago
#2
(Original post by JRichardson12)
This is question 9 from Exercise 4A of the old Edexcel M4 Textbook:

A light spring , having natural length and modulus of elasticity , lies straight and at its natural length at rest on a horizontal table. A particle of mass is attached to the end .
The end is then moved in a straight line in the direction with constant speed . The resulting motion of the particle is resisted by a force of magnitude where is the speed of the particle. If is the extension of the spring at time , show that

Obtain in terms of .

I have done the first part of the question have got an answer for the second part of the question of: , by using the initial conditions of , when .

However, the answer given in the book is which seems to have used an initial condition of when .

So, which initial condition is correct for this situation?
Is it not just the dx/dt=V one ? Due to the information of a constant speed.

Posted from TSR Mobile
0
Thread starter 4 years ago
#3
(Original post by physicsmaths)
Is it not just the dx/dt=V one ? Due to the information of a constant speed.

Posted from TSR Mobile
There's an example in the new book that's very similar where they take :

But, then in the next question of the old book, they have another question where they have a initial condition equal to the constant speed.
0
4 years ago
#4
(Original post by JRichardson12)
There's an example in the new book that's very similar where they take :

But, then in the next question of the old book, they have another question where they have a initial condition equal to the constant speed.
I have the book and i am currently working through M4 aswell,

Posted from TSR Mobile
0
4 years ago
#5
(Original post by JRichardson12)
There's an example in the new book that's very similar where they take :

But, then in the next question of the old book, they have another question where they have a initial condition equal to the constant speed.
Which questions are you taking about ?

Posted from TSR Mobile
0
Thread starter 4 years ago
#6
(Original post by physicsmaths)
Which questions are you taking about ?

Posted from TSR Mobile
Ah, sorry. I meant to be clearer. I mean question 10 of Exercise 4A of the old book on page 99, with the original question in my first post being question 9 of Exercise 4A.

Also, I mean the example on page 86 of the new book in case that was also unclear.
0
X

new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### University open days

• University of Bradford
Thu, 24 Oct '19
• Cardiff University
Sat, 26 Oct '19
• Brunel University London
Sat, 26 Oct '19

### Poll

Join the discussion

Yes (69)
23.71%
No (222)
76.29%