Quick Questions: Mass M on Horizontal Surface

  • Thread starter Thread starter Amel
  • Start date Start date
AI Thread Summary
A mass M on a horizontal surface has static friction coefficient mus=0.30 and kinetic friction coefficient muk=0.20. The tension T in the string must be less than or equal to the maximum static friction force for M to remain at rest, meaning T must be less than or equal to mus*N. If T exceeds this value, M will start to accelerate, transitioning to kinetic friction where T must exceed muk*N for continued acceleration. The net force on M is equal to T when M does not move, indicating that the friction force balances T at that point. Understanding the relationship between tension, static friction, and kinetic friction is crucial for solving the problem correctly.
Amel
Messages
43
Reaction score
0

Homework Statement



A mass M is initially at rest on a horizontal surface, mus=0.30 and muk=0.20 . A horizontal string then pulls M with a tension T. Forces below are magnitudes

A) N equals Mg
B) If M does not accelerate, then T less than or equal mu_s N
C) M will accelerate if T exceed mu_s N
D) M will accelerate if T exceeds mu_k N
E) T equals mu_s N if M remains at rest
F) The NET force on M (if M does not move) is T


The Attempt at a Solution



Ok so I am not sure which I am getting wrong here. I am supposed to choose which ones of them are right but I can't get it. If someone can tell me where I am messing up.

Im putting
A
B
D
E
for correct.
 
Physics news on Phys.org
How hard do you have to pull to start M moving (and thus accelerating)? Remember that it starts from rest.

If you pull and it doesn't move, what can you say about the friction force? How does that friction force compare to the maximum static friction force?

(Two of your answers are wrong.)
 
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