Friction Force Calculation: 1500 kg Car on 4 Degree Incline

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Homework Help Overview

The discussion revolves around calculating the force of friction for a 1500 kg car parked on a 4-degree incline, with gravity specified as 9.8 m/s². Participants are exploring the forces acting on the car and how to determine the frictional force preventing it from sliding down.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants suggest drawing a force diagram and using trigonometry to resolve gravitational forces into components. There is a focus on identifying which component of the gravitational force the frictional force must counteract. Questions arise about the relationship between static friction and the normal force, as well as how the forces balance when the car is stationary.

Discussion Status

The discussion is active, with participants providing guidance on calculating the normal force and emphasizing the need to consider the tangential force along the slope. There is an ongoing exploration of the components of forces and their equilibrium, with no explicit consensus reached yet.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is an emphasis on understanding the conditions for static equilibrium in the context of the problem.

julestux
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homework question, please help! :)

Homework Statement


A 1500 kg car is parked on a 4 degree incline. The acceleration of gravity is 9.8 meters per second squared. Find the force of friction keeping the car from sliding down the incline. Answer in units of Newtons.


Homework Equations


What formula(s) would you use?


The Attempt at a Solution

 
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one draw a force diagram and then use trig to break up the force of gravity into two components:
- parallel to the incline
- perpendicular to the incline

Your frictional force needs to counteract one of those components. which one?
 
welcome to pf!

julestux said:

Homework Statement


A 1500 kg car is parked on a 4 degree incline. The acceleration of gravity is 9.8 meters per second squared. Find the force of friction keeping the car from sliding down the incline. Answer in units of Newtons.


Homework Equations


What formula(s) would you use?


The Attempt at a Solution


hi julestux! welcome to pf! :wink:

first, find the normal force …

show us what you get :smile:
 
the normal force I got was 14664.19
 
julestux said:
the normal force I got was 14664.19

That's good. But I think you actually want the tangential force. That's what friction has to offset. And do specify units on a force.
 
julestux said:
the normal force I got was 14664.19

(i haven't checked your result)

ok, now take components (of all the forces) along the slope …

they have to add to zero :wink:
 
how do they add up to zero?:cry:
 
julestux said:
how do they add up to zero?:cry:

What do you mean by "how?" Add them up and set the sum equal to zero. It's a necessary condition if the object is stationary, and therefore unaccelerating.
 
yes :smile:

julestux, are you confused by assuming static friction = µN ?

it isn't, it's ≤ µN, you find out how much it is by summing the components to zero :wink:

anyway, show us what you get for the compontents along the slope :smile:
 

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