Independent system displacement variables

AI Thread Summary
Independent system displacement variables refer to the parameters that represent displacements from an equilibrium state in a mechanical system. In a two-dimensional context, these variables typically include X and Y displacements, as well as angular displacement. Each of these variables corresponds to a static equilibrium equation, allowing for a complete analysis of the system's behavior. Understanding these variables is crucial for solving problems related to statics and dynamics in engineering. The discussion emphasizes the importance of recognizing the relationship between displacement variables and equilibrium equations.
Physics news on Phys.org
I've not come across the term before, but since there is supposed to be a 1-1 correspondence with equilibrium equations, I deduce that it means a variable which would represent displacement from equilibrium. In two dimensions, you have X and Y displacement and angular displacement, giving three statics equations.
 
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