Determining how far a body will move up an inclined plane and the time to reach the highest point

  • Context: Engineering 
  • Thread starter Thread starter tremain74
  • Start date Start date
  • Tags Tags
    Forces Motion Physics
Click For Summary

Discussion Overview

The discussion revolves around determining the distance a body will move up an inclined plane and the time it takes to reach the highest point. It includes aspects of physics such as forces acting on the body, free body diagrams, and the effects of friction, as well as energy considerations in the absence of friction.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant presents the equation 15cos25 - 0.25N = ma, suggesting a relationship between forces acting on the object.
  • Multiple participants request clarification and detailed explanations of the approach being used, indicating a need for transparency in the problem-solving process.
  • A participant describes the scenario of an object moving up the plane at 25 degrees with an initial velocity of 15 m/s, including a free body diagram and forces acting on the object.
  • Another participant notes that there is no force acting up the inclined plane and emphasizes that the 15 m/s is the initial velocity, prompting a discussion on energy considerations in the absence of friction.
  • There is a question about how to incorporate the frictional force into the calculations and whether the frictional force changes with the object's velocity.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and approaches to the problem, with no consensus reached on the methodology or the effects of friction on the calculations.

Contextual Notes

Participants have not fully resolved the assumptions regarding the frictional force and its dependence on velocity, nor have they clarified the mathematical steps necessary to arrive at a solution.

tremain74
Messages
19
Reaction score
4
Homework Statement
A body is projected up a 25 degree plane with an initial velocity of 15 m/s. If the coefficient of friction between the body and the plane is 0.25, determine how far the body will move up the plane and the time required to reach the highest point. Answer : 17.7 m, 2.36 s.
Relevant Equations
I tried to use the equation summation of force = p - 0.25N = ma.
15cos25 - 0.25N = ma.
 
Physics news on Phys.org
Can you please show all of your work and explain why you are using that approach?
 
berkeman said:
Can you please show all of your work and explain why you are using that approach?
I have tried to used the drawing pad last night to show my work but I am having trouble using it.
 
Maybe start by talking us through your method...
 
I have an object that is going up the plane at 25 degrees to the right. It is going at 15 m/s. I drew a free body diagram of the object. I have a P force at 15 m/ s going up the direction at 25 degrees. I also have friction force going in the opposite direction of 0.25 * N.
 
tremain74 said:
I have a P force at 15 m/ s going up the direction at 25 degrees.
There is no force up the inclined plane. That 15m/s is the initial velocity up the plane.

You have probably worked through problems where was no frictional force for inclined planes, right? In those cases, you can just use Energy considerations to do the calculation for how far the object makes it up the inclined plane, right? How would you do this is there no friction?

And then, what changes (or additional terms) would you need to include in order to accommodate the frictional force? Does the frictional force back down the inclined plane change with the object's velocity?
 

Similar threads

High School Normal force in case of inclined plane and banked turn
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Forces to move on the level versus up an inclined plane
  • · Replies 12 ·
Replies
12
Views
2K
High School Rotational Dynamics: Confused about the tension in this string pulling a mass up an incline
  • · Replies 2 ·
Replies
2
Views
2K
Block on top of an inclined plane, with a rough surface, that moves with constant acceleration
  • · Replies 41 ·
2
Replies
41
Views
4K
High School Determine forces acting on double inclined plane
  • · Replies 13 ·
Replies
13
Views
2K
High School Beam on an inclined plane
  • · Replies 4 ·
Replies
4
Views
666
Undergrad How does a screw roll down an inclined plane?
  • · Replies 5 ·
Replies
5
Views
3K
Stretched spring attached to the center of a pure rolling disk
  • · Replies 11 ·
Replies
11
Views
1K
Undergrad Lagrangian approach for the inclined plane
  • · Replies 21 ·
Replies
21
Views
4K
How can we model a rolling truck on an incline using rotational motion analysis?
  • · Replies 24 ·
Replies
24
Views
3K