Finding the Minimum and Maximum Speed on a Sloped Surface

  • Thread starter Thread starter NewatPhysics
  • Start date Start date
  • Tags Tags
    Max Speed
Click For Summary

Homework Help Overview

The discussion revolves around determining the minimum and maximum speed of a car moving on a sloped surface while navigating a circular curve. The problem involves concepts of centripetal force and friction, with participants exploring the dynamics of forces acting on the car.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the relationship between frictional force and centripetal force, with some attempting to set up equations based on these forces. There are questions about the necessity of multiple free body diagrams and the interpretation of the problem's parameters, such as the slope angle and the conditions for minimum and maximum speeds.

Discussion Status

The conversation is ongoing, with some participants providing guidance on setting up equations and converting units. However, there is a lack of consensus on the interpretation of the problem, particularly regarding the conditions under which minimum and maximum speeds can be defined.

Contextual Notes

Some participants express uncertainty about the problem's setup, particularly regarding the slope and the implications for speed calculations. There are indications of confusion about the relationship between the forces involved and the geometry of the situation.

NewatPhysics
Messages
5
Reaction score
0

Homework Statement





Homework Equations



I draw free body diagram but I cannot attempt to go from there. Help Please.

The Attempt at a Solution



I have found the mui with no friction but that is not relevant to finding the answer. I have spent 25 hours on this question. Please just someone help me.
 
Last edited:
Physics news on Phys.org
Frictional force = centripetal force. Assume some m for mass of car. Write the eqn.
 
Shooting star said:
Frictional force = centripetal force. Assume some m for mass of car. Write the eqn.

im still lostt.
 
The car is moving on a circular curve, and so there must be a centripetal force acting on it. The only force that prevents the car from flying off is the force of friction between the wheel and the road, acting inward.

Frictional force F = mv^2/r. Also, F = kN = kmg, where k is co-eff of friction. Can you do it now? Remember, s = r*theta.
 
Shooting star said:
The car is moving on a circular curve, and so there must be a centripetal force acting on it. The only force that prevents the car from flying off is the force of friction between the wheel and the road, acting inward.

Frictional force F = mv^2/r. Also, F = kN = kmg, where k is co-eff of friction. Can you do it now? Remember, s = r*theta.

Shooting can u please check your email no clue. How many Free body diagrams must I draw. 2. I still cannot understand.
 
s, the arc length, is given as 200 m and theta as 30 deg. So, you can find r, right? Convert 30 deg to radians.

After that just plug in the values given in the formula I've given: mv^2/r = kmg.
That shouldn't be too difficult. You'll get the max speed.
 
Are you sure you copied the question exactly?

I ask because if the car were on a flat surface, I don't see how there could be a Vmin for this problem (unless I'm missing something here).

If I'm right then I would guess it's more likely that the 30 degrees is the slope the car is on, in which case Vmin will be the speed which gives the centripetal force that perfectly cancels frictional force (when it is acting inwards) and likewise for Vmax assuming an outward acting frictional force.
 
Last edited:

Similar threads

Find tension in string between two blocks on horizontal surface
  • · Replies 4 ·
Replies
4
Views
1K
Best Egg Drop Contest Shock Absorber?
  • · Replies 1 ·
Replies
1
Views
895
Maximum and minimum transverse speeds at an antinode
  • · Replies 6 ·
Replies
6
Views
4K
Speed and apparent weight of person in reverse bungee jumping
  • · Replies 9 ·
Replies
9
Views
2K
Another rotation problem -- Acceleration of a ring rolling on a surface
  • · Replies 1 ·
Replies
1
Views
863
Max Speed to Move from Point A to Point B
  • · Replies 53 ·
2
Replies
53
Views
6K
Maximum speed of car on downhill
  • · Replies 1 ·
Replies
1
Views
2K
Banked Road Physics Problem: Maximum Speed Calculation
  • · Replies 5 ·
Replies
5
Views
3K
For a Pendulum: Knowing Acceleration Find Maximum Angle
  • · Replies 26 ·
Replies
26
Views
3K
Maximum and minimum speeds in a moving cube
  • · Replies 20 ·
Replies
20
Views
2K