# Can someone help me with this static friction problem?

by shaggyace
Tags: friction, static
 P: 11 1. The problem statement, all variables and given/known data A 45-kg crate is placed on an inclined ramp. When the angle the ramp makes with the horizontal is increased to 24 degrees , the crate begins to slide downward. What is the coefficient of static friction between the crate and the ramp? 2. Relevant equations $\Sigma$F=ma fs=$\mu$sN 3. The attempt at a solution I started by drawing a free body diagram. My weight came out to be -441 N. I have the angle of my weight at 24 degrees. The normal force at mgcos24, for which I got 187N. mgsin24 came out to be 399N which is also the static friction force. Then I just substituted into the static friction equation and my coefficient of static friction came out to be 2.13. I entered this into the homework problem which we do online and it is wrong. Did I miss a step? What did I do wrong?
 P: 158 Your values for mgcos24 and mgsin24 are incorrect. Your calculator appears to be in radian mode.
 P: 297 The applied formula is right.The math is wrong. the weight u calculated using m as 450 and g as 9.8 (all in SI units) is right as 441 N. As u said normal force is mgcos24. and mgsin24 as component of weight parallel to inclined plane. However, the calculated values are not right. Hint(for angles less than 45 degrees cos x is always greater the sin x. However, here your mgcos24 is less than mgsin24)
P: 11

## Can someone help me with this static friction problem?

Wow, thanks a lot Calc class, lol.