# Free body diagrams

1. Oct 9, 2009

### gbedenba

1. The problem statement, all variables and given/known data
In each of the two free-body diagrams, the forces are acting on a 2.6 kg object. For each diagram, find the values of ax and ay, the x- and y-components of the acceleration, with F1 = 5 N and F2 = 3 N. Picture is attached.

(a) Diagram A
ax =____ m/s2
ay =____ m/s2
(b) Diagram B
ax =____ m/s2
ay =____ m/s2

2. Relevant equations

3. The attempt at a solution

I tried to use sin and cos. I don't think I am adding the forces up right. Help! Due today! I am getting decimal numbers.... I used a = F/M.

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2. Oct 9, 2009

### rl.bhat

It is always better to your calculations. We must know what mistakes you have made in adding the forces. That gives un an idea about your level of understanding.
In the first problem, you have to x and y components of 3 N force. Then find net Fx and net Fy which gives you ax and ay.

3. Oct 9, 2009

### gbedenba

For x comp. of 3N = 1.02606 y= 2.81908

My guess for F net is 2.97394....

ax = F/M 1.14382?

ay = .000354 wrong

4. Oct 9, 2009

### rl.bhat

How much significant numbers you are expexted to write in the answer?

5. Oct 9, 2009

### gbedenba

Ax : 3sin(20)=1.02606
F = -1.02606-1+5 = 2.97394 = 2.97394/2.6 = 1.14382

Ay : 3cos(20)= 2.81908
F = -2.81908 + 2.82 = 0.000922 = 0.000922/2.6 = 0.000355

6. Oct 9, 2009

Looks good.

7. Oct 9, 2009

### gbedenba

it says Ay is wrong.

For diagram B...how would I do it?

8. Oct 9, 2009

### Staff: Mentor

Looks right to me. Perhaps they want you to round it off to zero (which is the proper answer, given the significant digits involved).
The same way you did A.