Bank curve problem

[oreo]

Main Question or Discussion Point

Is normal force on moving car on a track a component of weight or vice versa.

 

[Maged Saeed]

Because the centripetal force is aiming in the direction of x axis ,, The Normal Force would be resolved into to components one is equal to the weight of the moving object

 

[oreo]

It means that weight is component of normal force. Is centripetal force directed towards center of circle or towards the axis because these are two different cases.

 

[Maged Saeed]

If you draw a free body diagram of this problem what would you have ,,

the Mg lies on the negative y axis pointing toward the center of earth , the centripetal force is pointing toward either positive x axis or negative x axis [horizontal plane] , And the normal force would have an angel with the x-axis [which will be resolved into components]

 

[oreo]

If you draw a free body diagram of this problem what would you have ,,

the Mg lies on the negative y axis pointing toward the center of earth , the centripetal force is pointing toward either positive x axis or negative x axis [horizontal plane] , And the normal force would have an angel with the x-axis [which will be resolved into components]

I wanna ask that is centripetal force acting towards the center of circular track or towards its central axis(x direction)

 

[Maged Saeed]

To the center of the circle NOT to the center of the x-direction ,, I didn't mean that ,,

:D

 

[oreo]

To the center of the circle NOT to the center of the x-direction ,, I didn't mean that ,,

:D

If it is then the normal force is perpendicular to the track ( ie perpendicular to centripetal force) then it would have no component providing the requisite force. Here is the figure in photo.

 

[Maged Saeed]

Actually what you have drawn is somehow mistaken , The centripetal force direction is a horizontal line from the moving object to the center of the circular track ,,
See this picture ,,

 

[oreo]

Actually what you have drawn is somehow mistaken , The centripetal force direction is a horizontal line from the moving object to the center of the circular track ,,
See this picture ,,
View attachment 77201

That was I wanted to confirm
You had first said that it is towards center but if it is so then the normal force would be at right angle to centripetal force as I drew but the figure you drew confirms that it is towards the axis. I took direction of normal force as y- axis.

 

[Maged Saeed]

Okay ,, The picture implies my point And sorry for my English
(:

 

[oreo]

Okay ,, The picture implies my point And sorry for my English
:)

Thank you for helping me. We done it together.