(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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Accelerating Incline - Conditions to prevent slipping

**Physics Forums | Science Articles, Homework Help, Discussion**