Find Largest Angle of Slope for Car w/ Front, Rear & 4WD

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Homework Help Overview

The discussion revolves around a physics problem concerning the maximum slope angle a car can ascend at constant speed, differentiated by drive type: front wheel drive, rear wheel drive, and four wheel drive. The original poster has provided some initial calculations for the four wheel drive scenario but is struggling with the other cases.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the tangent function related to friction to determine the slope angle. Some participants question the assumptions made regarding the drive types and suggest considering the normal forces acting on different axles. Others inquire about the free body diagrams used and the application of torque in the analysis.

Discussion Status

Participants are actively engaging with the problem, with some providing guidance on how to approach the calculations for different drive types. There is a recognition of the need to sum torques and consider the distribution of forces, but no consensus has been reached on the correct approach for the front and rear wheel drive scenarios.

Contextual Notes

There are indications of confusion regarding the correct values for the coefficient of friction in the calculations, and the original poster has acknowledged posting incorrect files. The discussion reflects a mix of attempts and clarifications, with some participants expressing uncertainty about their own understanding.

balogun
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Homework Statement


I have a friction question wanting me to find the largest angle of slope a car can drive up at constant speed
if it has
a front wheel drive
b rear wheel drive
c four wheel drive

The real question is in the microsoft word file attached.

2. Homework Equations [/b
tan(teta)=F/N=co-efficient of friction

The Attempt at a Solution


I managed to do the four wheel drive question

tan(teta)=0.40
teta=6.84.
Could not do the rear wheel and front wheel questions.

Help is appreciated.
 

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Sorry wrong file

Sorry i posted the wrong file the right one is here.
 

Attachments

Another question

I have got another question.I have tried to do it but no matter what free body diagram I do can't seem to get anwser.

Question attached to file.
 

Attachments

balogun said:
Sorry i posted the wrong file the right one is here.
You meant to say tan theta =.12, not .40 for the 4 wheel drive case, didn't you? The answer is correct, although you did not show your work, so I assume you just used
u =tan theta for simple objects in uniform motion? That works here for the 4WD case due to symmetry, but in general, you must sum torques to solve for the normal force at each axle, and note that the traction provided by friction acts on the drive wheels only. Would you expect the angle to be less or more or the same, for the 2WD cases? Try summing torques about the contact point of one of the tires to determine the normal force on the other tire.
 
erm..im no professional in this topic but maybe you can give us some of you attempt to the questions first?
 
balogun said:
I have got another question.I have tried to do it but no matter what free body diagram I do can't seem to get anwser.

Question attached to file.
Show or describe what you have for a FBD. Have you considered also that the tension in a cable wrapped around an ideal pulley is the same on both sides of the pulley?
 

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