Acceleration on a Pulley: Equal or Different for Connected Masses?

AI Thread Summary
In a frictionless system with two connected masses, one on a table and the other hanging over a pulley, both masses will experience the same magnitude of acceleration when released. This is due to the constraints of the string connecting them, ensuring they move together. The acceleration of the mass on the table is equal to that of the hanging mass, regardless of their individual weights. The fundamental equation governing this motion is ∑F=ma, which applies to both masses. Thus, the acceleration remains consistent across the system.
Tim Wellens
Messages
20
Reaction score
0

Homework Statement


We are dealing with a frictionless table with one mass on the table, while the other one hangs over the edge on a pulley connected by a string... and the mass on the table is greater than the mass hanging from the edge...

When the blocks are released from their resting position, would the magnitude of the acceleration of the mass on the table be more than, less than, or equivalent to the acceleration in the mass hanging over the edge?

Homework Equations


∑F=ma

The Attempt at a Solution


I think when the blocks are released, the magnitude of the acceleration of the mass on the table will be equal to the acceleration of the mass hanging over the edge because they are connected by a string, which would make them move at the same accelerations?

[moderator note: Removed boldface from user text.]
 
Physics news on Phys.org
Correct.
 
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