Cart, Incline, Pulley, and a messed up Acceleration.

[Some_Thing]

The question and my work can be seen in the image below:

http://img145.imageshack.us/img145/550/scan0001fgu.jpg

The problem is that I am getting around 1 for acceleration, while the answer is 0.77.

What am I doing wrong?

 

[rock.freak667]

Upload the image here [URL]http://imageshack.us and paste the forum code so that we can see it and try to help you.

 

[Some_Thing]

Upload the image here [URL]http://imageshack.us and paste the forum code so that we can see it and try to help you.

Oops, I was using a url from hotmail. It showed up fine for me, but I guess that was because I was logged in at the time.

Thanks.

 

[math_04]

The angle remains 26 and not 64. So Fgx = mass x gravity x sin theta where theta is 26 degrees.

 

[Some_Thing]

The angle remains 26 and not 64. So Fgx = mass x gravity x sin theta where theta is 26 degrees.

Fgx = mass x gravity x sin 26

Fgx = 3.6 x 9.8 x sin 26

Fgx = 15.465

This rounds off to 15.5 N, which is what I got.


NOTE: cos 64 = sin 26

 

[method_man]

You have got another force in the rope m₂a.
Your equation should look something like this:

m₂g+m₂a+m₁a=m₁gsin26

a=(m₁gsin26-m₂g)/(m₁+m₂)
a=0.7728