The discussion revolves around determining the angle at which a road should be banked for a racing car to achieve maximum control, given specific parameters such as radius, speed, and coefficient of friction. The subject area includes concepts of centripetal force and friction in the context of circular motion.
The discussion is active, with participants providing insights and questioning each other's reasoning. Some suggest that the problem may be poorly constructed, while others emphasize the need for clarity on the role of friction and the conditions for maximum control.
There is uncertainty regarding the complete problem statement and whether it is part of a multi-part question. Participants express confusion over the implications of the coefficient of friction provided in the problem.
No, it's accelerating.spartacus said:
Sorry, i meant that as a relevant equation in one dimension, since it's not accelerating verticallyDoc Al said:
Sure, the sum of the vertical force components must be zero.spartacus said:
ya so could you help me see what i did wrong?Doc Al said:
I figured N*sinθ is equal to centripetal force so it would by definition be going in the opposite direction of frictionJazz said:
For one thing, you included friction in your analysis. For another, you failed to consider the direction that friction acts.spartacus said:
In the absence of friction.spartacus said:
What's the direction of the centripetal acceleration? What's the direction of friction with respect to the surface on which it acts?spartacus said:
Why wouldn't i include friction?Doc Al said:
Because it asks for the angle of 'maximum control'. Is this question a part of a multi-part question?spartacus said:
Are you assuming that friction acts horizontally?spartacus said:
I believe the question means maximum control on the road that has the coefficient of friction of .2 or else why would mu be providedDoc Al said:
Note that when you consider friction, you have a range of acceptable speeds. Friction will give you the maximum and minimum values of the speeds that can be maintained without slipping. I would interpret the angle of maximum control to be that angle where friction is not needed.spartacus said:
Because this could be the first part of a multipart problem. Is it?spartacus said:
That is incorrect. Friction acts parallel to the surface.spartacus said:
I'm not giving up on you. :)spartacus said:
It's not a multipart problem no, how would i incorporate force of friction? would it be mg sintheta-mu?Doc Al said:
i have it right here let ill upload a screenshotDoc Al said:
No, it's an online assignmentDoc Al said:
If it's parallel should i use mu*mg sintheta then because that would make the problem a lot more difficultDoc Al said:
It seems like a poorly worded problem to me.spartacus said:
The normal force does not equal mg.spartacus said:
i mean having Ncostheta=mg for the vertical and Nsintheta-mu*mg*sintheta=(mv^2)/r for horizontalDoc Al said:
lol, i'll definitely get clarification from my teacher monday morningDoc Al said:
Two problems. Since friction has both vertical and horizontal components, your first equation would have to be modified. And, once again, the normal force does not equal mg.spartacus said:
Good idea!spartacus said: