Calculating Normal force when object it in circular motion.

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Homework Help Overview

The problem involves a block sliding along a frictionless loop-the-loop, where the objective is to determine the normal force exerted by the track on the block at a specific point in its circular motion. The block has a mass of 0.100 kg, an initial velocity of 2.0 m/s, and is at a height of 2.0R above the bottom of the loop, with R being the radius of the loop (0.15 m).

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster considers the role of inertia and energy in the problem but expresses uncertainty about how to relate these concepts to find the normal force at point Q. They question the relevance of finding the final velocity and mention confusion regarding the acceleration of the block.

Discussion Status

Participants are engaged in clarifying the problem setup and exploring the physics principles involved. There is an ongoing discussion about the appropriate approach to determine the normal force, with some participants suggesting the need for a clearer visual representation of the scenario.

Contextual Notes

The original poster is required to include a free body diagram (FBD) in their answer and to identify the laws of physics used in their solution. There is an emphasis on understanding the dynamics of circular motion and the forces acting on the block.

Kingrick
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\ P ____T_______
\ / \
\ / \
\ / \
\ / \
\ | R |
\ | | |- Q
\ | | |
\ \ | /
\ \ | /
\ \ | /
_____\______|______/

try and picture this more circle like.

Homework Statement



A small block with mass m=0.100kg can slide along the frictionless loop-the-loop, with loop radius R=0.15m, an initial velocity along the track of vi= 2.0 m/s at point P, at height h=2.0R above the bottom loop.

ok now, so first part to the question is,

determine the normal force that the track exerts on the block when it is at the point Q. Include a FBD in your answer and cleraly identify the laws of physics that are used to solve the problem.




Homework Equations


f=ma
PE=KE


The Attempt at a Solution



ok, for my attempt at solving this I'll tell you what i was thinking. I look at this and think it must be inertia holding the block in, and i started thinking there must be something to do with energy in the question, but when i started with energy I realized that finding Vf would not help me know what the normal force at point Q is.

So after examining the question further I realized I'm not sure how to solve it, because if F=ma, and the block is decelerating (which a=9.8 i believe) then Vf gets me no where. But i know that the wall must exert a force on the block to keep it in the circle.


any help would be appreciated on how to solve normal forces in situations like this.

thank you.
 
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\ P ____T_______
\ / \
\ / \
\ / \
\ / \
\ | R |
\ | | |- Q
\ | | |
\ \ | /
\ \ | /
\ \ | /
_____\______|______/

try and picture this more circle like.
 
ok my image does not work sorry
 
draw an image using paint and attach it to one of your posts
 
I'm guessing something like this. Can you clean this up Kingrick?
Code:
\ P                ____T_______ 
 \               /             \
  \             /               \
   \           /                 \
    \         /                   \
     \        |         R          |
      \       |         |          |- Q
       \      |         |          |
        \     \         |         /
         \     \        |        /
          \     \       |       /
            _____\______|______/
Cut and paste this into notepad or similar editor, fix it up, and then cut and paste it back into a reply. Don't forget to use the code tags as I have done.
 
Last edited:

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