- #1

timarli

- 11

- 0

Hi,

This is not related with a specific homework question. I was studying this topic and have noticed that I didn't understand some bits.The car is negotiating a bend with a speed of V.

The slope of the banket is θ

The coefficient of friction is η

Weight of the car if mg

Radius of the bend is R

To find the maximum speed I broke down the weight into two components, parallel and perpendicular to the road surface. So the parallel component + η times perpendicular component should give me the component of the centripetal force that's parallel to the surface. [m*g*cosθ*η + m*g*sinθ] = (m*v^2)*cosθ

But looks like I am wrong because according to the book the force that's perpendicular to the surface is not only from gravity but has a second component coming from 'centripetal force'? This is the actual formula : [(m*g*cosθ + m*v^2*cosθ/R)*η + m*g*sinθ] = (m*v^2)*cosθ

I really don't understand this one because the "centripetal force" itself is the resultant of weight and force applied by the surface on the car. There is nothing else that can cause this central acceleration. So adding a component of the centripetal force to the above formula to find the 'centripetal force itself does not make sense at all :S

Please comment.link to the paper, pages 9-10: http://home.online.no/~orjanbye/fyfazanf1/fysikk/maximum_speed_for_bends.pdfThanks.

This is not related with a specific homework question. I was studying this topic and have noticed that I didn't understand some bits.The car is negotiating a bend with a speed of V.

The slope of the banket is θ

The coefficient of friction is η

Weight of the car if mg

Radius of the bend is R

To find the maximum speed I broke down the weight into two components, parallel and perpendicular to the road surface. So the parallel component + η times perpendicular component should give me the component of the centripetal force that's parallel to the surface. [m*g*cosθ*η + m*g*sinθ] = (m*v^2)*cosθ

But looks like I am wrong because according to the book the force that's perpendicular to the surface is not only from gravity but has a second component coming from 'centripetal force'? This is the actual formula : [(m*g*cosθ + m*v^2*cosθ/R)*η + m*g*sinθ] = (m*v^2)*cosθ

I really don't understand this one because the "centripetal force" itself is the resultant of weight and force applied by the surface on the car. There is nothing else that can cause this central acceleration. So adding a component of the centripetal force to the above formula to find the 'centripetal force itself does not make sense at all :S

Please comment.link to the paper, pages 9-10: http://home.online.no/~orjanbye/fyfazanf1/fysikk/maximum_speed_for_bends.pdfThanks.

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