Calculating Maximum Net Force in Simple Harmonic Motion

Click For Summary
The discussion centers around calculating the maximum net force on a mass undergoing simple harmonic motion, given its position function. Participants emphasize the need to differentiate the position function to find acceleration, which is crucial for determining maximum force. The maximum acceleration is derived using the formula amax = ω²A, where A is the amplitude and ω is the angular frequency. The final calculation leads to a maximum net force of approximately 3.9 x 10^-3 N. Understanding calculus concepts, particularly differentiation, is highlighted as essential for solving such physics problems.
  • #31
Dark visitor, do you see the similarity between this problem and the engine problem. There we were looking for max velocity. So when you differentiate position with respect to t, the w pops out in front (chain rule) and sin becomes cos. D/dx again and you get -w*w*sin.

Next time you do this, please have all your notes out and for good heavens, my man, don't try to bite off so much in a weekend.:eek: Physics requires slow assimilation and lots of practice!
 
Physics news on Phys.org
  • #32
Only one more thing, sorry.

Is the amplitude (A) .160 m? And is \omega equal to\pi/16?
 
  • #33
Dark Visitor said:
Only one more thing, sorry.

Is the amplitude (A) .160 m? And is \omega equal to\pi/16?

yes.
 
  • #34
Okay, thanks. Here is my work:

amax = (\pi/16)2(.160 m)
= .00617 m/s2

Fmax = (.64 kg)(.00617 m/s2)
= .003949

or 3.9 * 10-3

Thanks a lot. I really appreciate all of your help.
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
Replies
16
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
3
Views
3K
Replies
5
Views
7K
Replies
9
Views
2K
Replies
3
Views
814
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K