Calculating Force and Motion on an Inclined Plane

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SUMMARY

The discussion focuses on calculating the force acting on a body moving up an inclined plane with a weight of 12 kN and a velocity decreasing from 6 m/s to 3 m/s. Participants confirm that the force F is calculated to be 7133.6 N (or 7.13 kN) using the formula for acceleration and the sum of forces. They also discuss the implications of static and kinetic friction coefficients being equal and how this affects the body's motion when force F is not applied.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of inclined plane mechanics
  • Familiarity with static and kinetic friction coefficients
  • Ability to apply kinematic equations for motion analysis
NEXT STEPS
  • Learn how to derive acceleration using kinematic equations
  • Study the effects of friction on motion in inclined planes
  • Explore advanced applications of Newton's laws in dynamic systems
  • Investigate the relationship between force, mass, and acceleration in various contexts
USEFUL FOR

Students in physics, mechanical engineers, and anyone interested in understanding the dynamics of motion on inclined planes.

  • #31
Well, OK. So -Fk+F = 456.837 N. What is Fk?

ehild
 
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  • #32
Fk is 1.879 [kN]

Which means that I'm an idiot

Because I didn't translate KiloNewtons to Newtons heh:-p

You got me :wink:

Thanks :smile:
 
  • #33
There were fewer mistakes in your posts if you typed in the calculations. And they were easier to read.

ehild
 
Last edited:
  • #34
Still off, if I convert everything to Newton it turns out 1420.28 [N] whereas the manual says 4840.87 [N]

Can you help and tell me what did I miss?
 
  • #35
It seems to me that you ignored a force. Maybe it is there, but I can hardly read your webcam picture. Would you please type in the solution, as everybody else do? ehild
 
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  • #36
As far as I can tell, you have the right answer.

Are you sure all the problem data correct?
Like that you have an initial speed of 6 m/s decreasing to 3 m/s?
 
  • #37
I will write the full question for reference

http://img846.imageshack.us/img846/6564/samemethod.jpg



An body whose weight is W proceeds upwards on an incluned plane, slanted to the horizontal axis at angle alpha.
The force (F), acting on the body parallel to the inclined plane, remains constant during the entire action. The friction friction coeffecient between the body and surface is μ.

A) Calculate the force (F) acting on the body, if in the motion of the body its velocity decreases from 6 m/s to 3 m/s

B) What is the work done in this segment?
 
Last edited by a moderator:
  • #38
ehild said:
There were fewer mistakes in your posts if you typed in the calculations. And they were easier to read.

ehild

I just noticed that post. Well, it's tons more time-consuming to do it via typing. I'll try though to be as clear as I can, and show it typed whenever I can.
 
  • #39
Good morning Fp! :smile:

No mistake. I believe your answer is correct.
(Unless ehild thinks otherwise. :wink:)
 
  • #40
Femme_physics said:
I just noticed that post. Well, it's tons more time-consuming to do it via typing. I'll try though to be as clear as I can, and show it typed whenever I can.

Well, it is very difficult to read your handwriting, but your comfort is the first.

Have you found the missing force? Hint: look at the solution of the previous problem.

ehild
 
  • #41
I like Serena said:
Good morning Fp! :smile:

No mistake. I believe your answer is correct.
(Unless ehild thinks otherwise. :wink:)

Neat :smile: ! So the work done is just

Fk x AB = 1879 x 30 = 56370 [N x m]Yes?
 
  • #42
ehild said:
Well, it is very difficult to read your handwriting, but your comfort is the first.

Have you found the missing force? Hint: look at the solution of the previous problem.

ehild

Well, yes, if I corrected the kN -> N thing it turns out 1420.28 [N]

I figured that was right, that's what I thought ILS was saying

Well, it is very difficult to read your handwriting, but your comfort is the first.

I'll try be clearer then. I normally write it big with a big marker, in this case though I can see why it's difficult. If you'll ask me to redo it typed I will
 
  • #43
I like Serena said:
No mistake. I believe your answer is correct.
(Unless ehild thinks otherwise. :wink:)


I see only the applied force and friction.

ehild
 
  • #44
ehild said:
I see only the applied force and friction.

ehild

You're right, so Fp's answer is wrong after all.
(Good that I made an exception clause! :smile:)
 
  • #46
Good! :smile:
 

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