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

(Kleppner & Kolenkow - Introduction to Mechanics - 2.17)

The first attached image shows a box on an incline which is accelerated at a rate a meters per second squared. [itex]\mu[/itex] is the coefficient of friction between the box and incline surface. The questions are in the image.

2. Relevant equations

Newton's Laws

3. The attempt at a solution

I can understand that there will be a range for the accelerations which will leave the box static on the incline. I'm not sure how the math is to be applied to get the maximum acceleration. I got the answer for minimum by resolving forces along the surface of the incline, and equating them. The answer I got was:

[itex]a=g \frac{sin(\theta)-\mu cos(\theta)}{cos(\theta)+ \mu sin(\theta)}[/itex]

This gives the correct answer for the case given in the clues. I'm not sure how to proceed to find the maximum acceleration. Any hints?

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# Accelerating Incline - Conditions to prevent slipping

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