Understanding Forces and Velocity for an Object in a Curved Path

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The discussion focuses on understanding the relationship between forces and velocity for an object moving along a curved path. It is established that velocity vectors are always tangent to the curve, while force vectors point toward the center of the curve, specifically toward point K, due to the nature of acceleration. The magnitude of the force increases as the curve sharpens, reflecting a stronger acceleration. Participants clarify their understanding of these concepts, noting that acceleration is always directed toward the center of curvature. Overall, the conversation emphasizes the importance of these vector directions in analyzing motion along a curved path.
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Homework Statement



http://img255.imageshack.us/my.php?image=physpr3.jpg

http://img255.imageshack.us/my.php?image=physpr3.jpg

Draw the (a.) direction of velocity of the object and (b.) the direction of the net force on the object for each point and finally (c.) explain why you drew the vectors as you did.

The acceleration varies but is always directed toward point K.

Homework Equations



Work - Energy Theroem

Wnet = KEf - KEi

W = F (dot) d * cos(@)

The Attempt at a Solution



a. all the velocity vectors will be perpendicular to the curve but what I don't know is how to draw the magnitudes ...

b. all the force vectors should be drawn towards point k (Why? because F = ma, and the force will be in the same direction as acceleration) we also know the Force will be bigger near K than Not K because of the magnitued of acceleration will be bigger when the curve is sharper.
 
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toughguy738 said:

Homework Statement



http://img255.imageshack.us/my.php?image=physpr3.jpg

http://img255.imageshack.us/my.php?image=physpr3.jpg

Draw the (a.) direction of velocity of the object and (b.) the direction of the net force on the object for each point and finally (c.) explain why you drew the vectors as you did.

The acceleration varies but is always directed toward point K.

Homework Equations



Work - Energy Theroem

Wnet = KEf - KEi

W = F (dot) d * cos(@)

The Attempt at a Solution



a. all the velocity vectors will be perpendicular to the curve but what I don't know is how to draw the magnitudes ...

b. all the force vectors should be drawn towards point k (Why? because F = ma, and the force will be in the same direction as acceleration) we also know the Force will be bigger near K than Not K because of the magnitued of acceleration will be bigger when the curve is sharper.

What is your thinking on the Velocity vectors?

Are you familiar with Keplers Laws of planetary motion?
 
LowlyPion said:
What is your thinking on the Velocity vectors?

Are you familiar with Keplers Laws of planetary motion?


We learned last week or so that for an object to go in a curved path that acceleration will be perpendicular to the curve and that velocity will be tangent (so I definetley didn't write that in the 1st post and thanks for catching that)

and no we havnt used/hread of keplers laws
 
toughguy738 said:
We learned last week or so that for an object to go in a curved path that acceleration will be perpendicular to the curve and that velocity will be tangent (so I definetley didn't write that in the 1st post and thanks for catching that)

and no we havnt used/hread of keplers laws

From the statement of the problem a is pointing at all times towards k isn't it?
 

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