Acceleration of a box pulled up a ramp with friction

Click For Summary

Homework Help Overview

The problem involves a 160kg box on a 35-degree inclined plane, with a rope and pulley system applying a tension of 1240 N. The scenario includes considerations of static friction with a coefficient of 0.45, and participants are tasked with determining whether the box will move up the ramp and its potential acceleration.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the forces acting on the box, including tension, friction, and gravitational components. There is an exploration of whether the force of tension is sufficient to overcome the combined forces of friction and gravity acting down the ramp.

Discussion Status

Some participants express confidence in the calculations presented, while others indicate a desire for further verification, particularly in relation to the next problem involving kinetic friction. There is no explicit consensus, but the discussion appears to be productive with participants affirming the original poster's approach.

Contextual Notes

Participants note that the subsequent problem will involve different parameters, specifically a coefficient of kinetic friction, which may influence their understanding of the current problem's dynamics.

M4573R
Messages
10
Reaction score
0

Homework Statement


A 160kg box is on a plane with an incline of 35 degrees. A rope is attached to the box and a pulley at the top of the ramp and has a tension of 1240 N. The static coefficient of friction is 0.45. Will the box move up the ramp? If so, what is its acceleration?

Homework Equations


Total force on box = m*a
Is Force of tension >= Force of friction + Force of gravity down ramp(?)

Force of static friction = umg*cos(theta) = 0.45*160.0*9.81*cos(35) = 579 N
Force of gravity down ramp = mg*sin(theta) = 160.0*9.81*sin(35) = 900 N

The Attempt at a Solution


Force Total = m * a
1240 N >= 579 N - 900 N
1240 N >= 1479 N -> No it won't slide up the ramp.

I hope this is correct, I'm not sure if using the force acting down the ramp is correct or not.
 
Physics news on Phys.org
Well done, it looks good to me.
 
The next problem implies the box reaches the top of the ramp and we are given a coefficient of kinetic friction, So I want to make extra sure.
 
I just read over it again and it looks fine.
 

Similar threads

Why is the direction of kinetic/static friction up a ramp?
  • · Replies 7 ·
Replies
7
Views
2K
Analyzing acceleration of block on a ramp connected to a pulley
  • · Replies 15 ·
Replies
15
Views
2K
Box and a Spring on on an inclined plane
  • · Replies 11 ·
Replies
11
Views
4K
Static Friction Between a Box and the Floor
  • · Replies 11 ·
Replies
11
Views
3K
Finding the work done by a block
  • · Replies 4 ·
Replies
4
Views
3K
Determine is box of unknown mass is sliding down a ramp?
  • · Replies 5 ·
Replies
5
Views
3K
Find tension force on 2 boxes on a ramp
  • · Replies 5 ·
Replies
5
Views
2K
Calculating the frictional forces on a sliding box on a ramp
  • · Replies 2 ·
Replies
2
Views
4K
Finding the acceleration of a block on an inclined plane with friction
  • · Replies 2 ·
Replies
2
Views
842
Direction of a rope with a ball inside an accelerating box
  • · Replies 5 ·
Replies
5
Views
2K