What is the magnitude of acceleration in a system with two boxes and a pulley?

  • Thread starter Thread starter madah12
  • Start date Start date
  • Tags Tags
    Pulley
AI Thread Summary
The discussion revolves around calculating the magnitude of acceleration in a system with two boxes and a pulley, both having the same mass. The equations of motion and torque are applied, leading to the conclusion that the acceleration should be a = g/2.5. The participant initially calculated the acceleration as 3.5 m/s² but later realized the error was due to a numerical mistake in division. The correct value for acceleration, using g = 9.81 m/s², should be approximately 3.92 m/s². The participant reflects on the importance of careful calculations, especially during exams.
madah12
Messages
326
Reaction score
1

Homework Statement


http://img148.imageshack.us/img148/8686/ssslk.png
the two boxes and the pulley have the same mass
I=.5mr^2
the system is accelerating downwards calculate the magnitude of the acceleration

Homework Equations


The Attempt at a Solution


I will call the falling one D and the higher one U

mg-Td=ma
Td=mg-ma
Tu=ma
by torque
Td-Tu=I alpha/r
Td-Tu=I a/r^2
Td-Tu=(.5mr^2) a/r^2
Td-Tu==.5ma
mg-ma-ma=.5ma
2.5a=g
a=g/2.5=3.5
what's wrong here??
in the exam I got 4 out of 5 in this question I can't see why I didnt get a full mark I revised everything
 
Last edited by a moderator:
Physics news on Phys.org
madah12 said:
a=g/2.5=3.5

Try doing this part again

Remember: g=9.81m/s2
 
uh lol so after all that work my error was numerical serves me right for using my head and not the calculator in this exam because I thought it was an easy division they should have only subtracted a half -.-
 
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...

Similar threads

Replies
26
Views
2K
Replies
18
Views
759
Replies
40
Views
4K
Replies
15
Views
5K
Replies
22
Views
2K
Replies
6
Views
9K
Back
Top