Friction problem again Okay today is not my day

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To determine the maximum acceleration of a train without a passenger slipping, the coefficient of friction is 0.47. The key equation involves Newton's second law, where the forces acting on the passenger must be balanced. By analyzing the situation from the ground reference frame, the passenger's acceleration matches that of the train. This leads to a single unknown in the equation, allowing for the calculation of the train's maximum acceleration. Understanding the forces at play is crucial to solving the problem effectively.
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Homework Statement



A passennger is standing without slipping in a forward accelerating train. The coeffeciant of the feet and the floor is 0.47. Determine the maximum required acceleration of the train relative to the track if the passenger is not to slip

Homework Equations



F=ma

The Attempt at a Solution



I know that acceleration = 0, but when I rearrange the equations. I end up with
F(a) = ma + (mu)mg. But I only know (mu)... so I end up not being able to solve it.
 
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vysis said:

Homework Statement



A passennger is standing without slipping in a forward accelerating train. The coeffeciant of the feet and the floor is 0.47. Determine the maximum required acceleration of the train relative to the track if the passenger is not to slip

Homework Equations



F=ma

The Attempt at a Solution



I know that acceleration = 0, but when I rearrange the equations. I end up with
F(a) = ma + (mu)mg. But I only know (mu)... so I end up not being able to solve it.

If you consider things from the reference frame of the ground, the man is accelerating with the same acceleration as the train. Write out Newton's law in that case. What forces are acting on him? Once you use that in Newton's law, you should find that you only have one unknown left in your equation.
 
but I'm not given the train's acceleration... am I missing something here =/?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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