How Do You Calculate Tension and Acceleration in a Two-Body Pulley System?

  • Thread starter Thread starter moe6142
  • Start date Start date
  • Tags Tags
    Physics Pulleys
AI Thread Summary
To calculate the acceleration and tension in a two-body pulley system, the forces acting on each mass must be analyzed. The 0.25kg object experiences kinetic friction, calculated using the coefficient of friction and the normal force, resulting in a frictional force of approximately 0.4488N. The gravitational force on the suspended 0.1kg object is 0.981N, and the net force is determined by subtracting the frictional force from this gravitational force. The total mass of the system is used to find the acceleration, which is calculated to be around 1.5 m/s². The tension in the string can also be derived from these calculations, confirming the relationship between the forces in the system.
moe6142
Messages
5
Reaction score
0
Diagram
kkk.jpg


Homework Statement


Consider the two body system above. There is a 0.25kg object accelerating across a rough surface. The sliding object is attached by a string to a 0.1kg object which is suspended over a pulley. the coefficient of kinetic friction is 0.183. Calculate the acceleration of the block and the tension in the string.

Homework Equations


Fg=mg
Fnet=ma

The Attempt at a Solution



i got the acceleration to be 1.5...m/s^2 i don't know if it is right

fn=fg=mg 0.25 x9.81m/s^2 =2.4525N
ff=ufn
ff=0.183 x 2.4525N =0.4488075 ff=fg since fn=fg

fg2= 0.1 x 9.81 =0.981 then subtracted them to get fnet then divided by the total mass to get 1.502025m/s^2
=0.4488075N
 
Last edited:
Physics news on Phys.org
How did you get that answer? What exactly did you do? Can you please post your working?
 
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