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

AI Thread Summary
The discussion revolves around 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 coefficient of friction and Newton's laws. The second problem involves determining the maximum allowed frictional coefficient for boxes sliding down a ramp, given a specific distance and time. Participants suggest drawing free body diagrams and manipulating equations with variables before substituting values to simplify the process. Understanding how the angle of the ramp affects the forces is also emphasized for solving the second problem effectively.
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.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top