Magnitude of Frictional Force in Simple Harmonic Motion

Click For Summary
SUMMARY

The discussion focuses on the analysis of frictional force in the context of Simple Harmonic Motion (SHM). Key equations include the velocity equation v=wAcos(wt) and the friction force equation, which is defined as the Coefficient of Friction multiplied by the Normal Force. Participants clarify that the acceleration varies during SHM, impacting the frictional force experienced by block A when in motion with block B. The conclusion emphasizes that block A is more likely to slip when block B reaches its maximum displacement due to increased acceleration.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with Newton's laws of motion
  • Knowledge of friction coefficients and normal forces
  • Basic calculus for analyzing varying acceleration
NEXT STEPS
  • Study the principles of Simple Harmonic Motion in detail
  • Learn about the Coefficient of Friction and its applications
  • Explore Newton's laws of motion and their implications in SHM
  • Investigate the mathematical modeling of varying forces in oscillatory systems
USEFUL FOR

Students and educators in physics, particularly those focusing on mechanics and oscillatory motion, as well as anyone interested in the practical applications of friction in dynamic systems.

Rotnort
Messages
5
Reaction score
0

Homework Statement


upload_2017-6-11_1-11-47.png


I do not fully grasp the concept behind all of these sub questions (i)-(iv).

Homework Equations


v=wAcos(wt) (SMH)?
Friction Force = Coefficient of Friction * Normal Force

The Attempt at a Solution



(i) Varying as simple harmonic motion sees varying acceleration as it oscillates forwards, until a stationary point and then backwards.

(ii) Same (not varying) as block A moves with block B, in identical harmonic motion?

(iii) I think this has to do with the result of (ii), which would indicate (ii)'s correct answer is 'varying' but I am not sure why (conceptually).

(iv) as (iii)
 
Physics news on Phys.org
F=ma. If a is varying, what can be said about F?
 
  • Like
Likes   Reactions: Rotnort
jbriggs444 said:
F=ma. If a is varying, what can be said about F?
I see, very simple. Thank you!

So for (iii), block A would be more likely to slip when block B is at x=d because at x=d block B would have greater acceleration (would it?)
 
Last edited:
Rotnort said:
I see, very simple. Thank you!

So for (iii), block A would be more likely to slip when block B is at x=d because at x=d block B would have greater acceleration (would it?)
Yes!
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
Replies
7
Views
2K
Replies
7
Views
2K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K