Finding the mass of a block on an incline attached to a pulley

AI Thread Summary
The problem involves a two-mass system with a block on an incline and a block on a horizontal surface, both experiencing kinetic friction. The system accelerates at 2.00 m/s², with one block (M2) weighing 5.00 kg. To find the mass of the block on the incline (M1), Newton's second law should be applied to both blocks, leading to equations that incorporate tension and friction. The tension can be calculated using the known mass and acceleration, allowing for the determination of the unknown mass. Solving the system of equations will yield the required mass of the block on the incline.
Beachgirl1992
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Homework Statement


The two mass system shown below has the same coefficient of kinetic friction on both the horizontal and inclined surfaces. When the system released from rest, both blocks quickly reach a constant acceleration of 2.00 m/s^2. M2=5.00 kg (on horizontal. Find the mass M1 of the block on the incline. Please see attached picture!


Homework Equations


Newtons second law




The Attempt at a Solution

I am super stuck :( i tried to start working with Newtons equation but i hit a dead end! can someone help set me up pretty please :) with a cherry! I've spent and hour on this!
 

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Use Newtons laws applied on each block and solve the system of equations. The easiest way would be to solve for the tension in the rope given the information for the 5kg mass...
 
Hmm okay my friend and i are both stuck on this one!
How could i solve for the tension? I am trying to set up vectors its just not clicking for me
 
Can i do this. A=(F-f)/m to solve for the force?!
 
Newtons laws on the top block yield:
T-f=(5kg)(2 m/s^2)
you can calculate friction 'f' so the only unknown is tension 'T'.
 
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