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

1. Jun 11, 2009

Some_Thing

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

http://img145.imageshack.us/img145/550/scan0001fgu.jpg [Broken]

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

What am I doing wrong?

Last edited by a moderator: May 4, 2017
2. Jun 11, 2009

rock.freak667

Last edited by a moderator: Apr 24, 2017
3. Jun 11, 2009

Some_Thing

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.

Last edited by a moderator: Apr 24, 2017
4. Jun 11, 2009

math_04

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

5. Jun 11, 2009

Some_Thing

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

6. Jun 12, 2009

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