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1. The problem statement, all variables and given/known data

Find the x component of acceleration.

Find the y component of acceleration.

The mass of the particle is 2kg.

2. Relevant equations

3. The attempt at a solution

I've only tried to find a_x. I thought that for finding component values you need to add up the relevant components. There are four forces in the diagram, but one has no x component so I ignored it when finding a_x.

[tex] F=ma [/tex]

[tex] F_x=ma_x [/tex]

[tex] F_x=2a_x [/tex]

[tex] a_x=\frac{F_x}{2} [/tex]

So do I just add up the three forces with x components like this?

[tex] a_x = \left(\frac{F_{x,1}}{2}+\frac{F_{x,2}}{2}+\frac{F_{x,3}}{2} \right) = \frac{1}{2}(F_{x,1}+F_{x,2}+F_{x,3})[/tex]

Starting clockwise at 1 N,

[tex] F_{x,1} = (-1)cos(20) ≈ -0.94[/tex]

[tex] F_{x,2}=(-2.82)cos(110) ≈ 0.96[/tex]

[tex] F_{x,3}=(5)cos(20) ≈ 4.7[/tex]

[tex] a_x = \frac{1}{2}(-0.94+0.96+4.7) = \frac{1}{2}(4.72)=2.36 [/tex]

I must have a fundamental misunderstanding about something(s), because this is way off from the accepted value of 1.49 for a_x. thanks for commenting! :)

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# Homework Help: Component acceleration in free-body diagram

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