Acceleration of pulley system physics problem

AI Thread Summary
The discussion revolves around a physics problem involving the acceleration of mass m1 in a pulley system on a frictionless table. Participants express confusion regarding the setup, particularly the positioning and role of the second mass, m2. There is uncertainty about the forces acting on both masses, which is critical for solving the problem. Clarification on the dynamics of the system and the relationship between the two masses is sought. Understanding these forces is essential for deriving the correct expression for acceleration.
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Homework Statement


knight_Figure_08_40.jpg

In the figure, find an expression for the acceleration of m1 (assume that the table is frictionless).

Homework Equations


The Attempt at a Solution


That picture of the second mass is stumping me because I have no idea what the heck is going on. It seems as if the second mass is fixed, but I honestly have no clue.
 
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What are the forces acting on m1, on m2?
 

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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