What are the equations and steps to solve these two problems?

Click For Summary
SUMMARY

This discussion focuses on solving two physics problems involving friction and acceleration. The first problem requires calculating the minimum acceleration of a subway train to keep a bat in place, using the equation for friction (Friction = μ * N) and Newton's second law (F = ma). The second problem involves determining the maximum allowed frictional coefficient for boxes sliding down a 30-degree ramp in 3.5 seconds, necessitating the use of kinematics equations and free body diagrams for both scenarios. Participants emphasize the importance of manipulating equations with variables before substituting values to simplify the problem-solving process.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with friction coefficients and their calculations
  • Knowledge of kinematics equations
  • Ability to draw and interpret free body diagrams
NEXT STEPS
  • Study the application of Newton's second law in various contexts
  • Learn how to calculate frictional forces in different scenarios
  • Explore kinematics equations in detail, particularly for inclined planes
  • Practice drawing and analyzing free body diagrams for complex systems
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in applying mathematical concepts to real-world problems involving motion and forces.

da5id2
Messages
3
Reaction score
0
I have two separate problems that I think require essentially the same equations and thought process. So if I can get one I should be able to get the other:

First problem

Homework Statement


A bat crashes into the vertical front of an accelerating subway train. If the coefficient of friction between bat and train is 0.89, what is the minimum acceleration of the train that will allow the bat to remain in place?

Homework Equations


Friction=[mu]*N
F=ma
kinematics equations
?

The Attempt at a Solution


No idea how to even start this one.


Second problem

Homework Statement


At the end of a factory production line, boxes start from rest and slide down a 30 degree ramp 5.7 m long. If the slide is to take no more than 3.5 s, what is the maximum allowed frictional coefficient?

Homework Equations


same as first problem, i think?

The Attempt at a Solution


First I thought that I need to find the acceleration of the box over 5.7 meters in 3.5 seconds. I got about .931 m/s^2. I'm not sure where to go from there. One big question I have is how does the 30 degree angle play into the question?

Thanks!
 
Physics news on Phys.org
In both of these situations, it would probably be helpful to draw a free body diagram for the bat in #1 and for the box in #2. Then use the equations that you have identified.

Also, You will find it helpful to set up and manipulate your equations with variables first before trying to substitue in any values. You will discover some things you think you need to know will divide out of the equations...
 
Galileo's Ghost said:
In both of these situations, it would probably be helpful to draw a free body diagram for the bat in #1 and for the box in #2. Then use the equations that you have identified.

Also, You will find it helpful to set up and manipulate your equations with variables first before trying to substitue in any values. You will discover some things you think you need to know will divide out of the equations...

Thanks for the reply. I drew the free body diagrams but I'm still not sure what to do and how to manipulate Newton's law.
 

Similar threads

Replies
4
Views
1K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
13
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
17
Views
4K
Replies
13
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 42 ·
2
Replies
42
Views
6K