Calculate the maximum acceleration of a milk carton

AI Thread Summary
The discussion revolves around calculating the maximum acceleration of a milk carton using the equation ∑Mb = m*a*d. The user attempts to solve the problem and arrives at an acceleration of 3.52 m/s². Other participants confirm this result, indicating agreement on the calculation. The conversation highlights the importance of applying the correct physics principles in solving such problems. Overall, the calculated acceleration of 3.52 m/s² is validated by multiple contributors.
javii
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Homework Statement


upload_2017-4-19_0-40-7.png


Homework Equations


∑Mb = m*a*d

The Attempt at a Solution



Using the formula below i get:
m*g*cos(0)*(0.07/2)-m*g*sin(0)*(195/2)=m*a*h

upload_2017-4-19_0-45-22.png

And I get 3.52 m/s^2

Is it correct?
 
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javii said:
And I get 3.52 m/s^2
So do I.
 
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haruspex said:
So do I.
Thank you for your response.
 

Thread 'Errors and significant figures'

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...
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Thread 'A cylinder connected to a hanging mass'

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...
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