Quick Questions: Mass M on Horizontal Surface

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SUMMARY

The discussion centers on the dynamics of a mass M on a horizontal surface with static friction coefficient μs = 0.30 and kinetic friction coefficient μk = 0.20. Key conclusions include that the normal force N equals Mg, and that M will not accelerate unless the tension T exceeds the maximum static friction force (T > μs N). The incorrect selections made by the user include options B and D, as B is true only if M does not move, and D is irrelevant when considering static friction.

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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.
 
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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.)
 

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