(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A block of mass M1 = .430 kg is initially at rest on a slab of mass M2 = .845 kg, and the slab is initially at rest on a level table. A string of negligible mass is connected to the slab, runs over a frictionless pulley on the edge of the table, and is attached to a hanging mass M3. The block rests on the slab but is not tied to the string, so friction provides the only horizontal force on the block. The slab has a coefficient of kinetic friction .365 and a coefficient of static friction .566 with both the table and the block. When released, M3 pulls on the string and accelerates the slab, which accelerates the block. Find the max mass of M3 that allows the block to accelerate with the slab, w/o sliding on the top of the slab

2. Relevant equations

Ʃfx= T-f

Ʃfy = T - W

f=uN

3. The attempt at a solution

I treated the masses on the table as one single mass which was 1.275 kg. i multiplied that by gravity to find N and it was 12.495. I took the kinetic coefficient of friction and found friction to be -4.56

i plugged this into the Ʃfx= T-f equation with my other knowns to find T+4.56= 1.275a

Looking at the second equation i see that i have two variables for the weight will depend on the mass of the hanging mass. so Ʃfy = T - (mass3 x gravity)

i'm stuck at this point relating the two together. Am i correct in how i have things set up so far? or have i not solved for a variable that i should b able to?

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# Finding the maximum mass

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