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## Homework Statement

## Homework Equations

I converted the given data to SI units, because of my native calculation system.

I used an index for particles and named rope force BC: [tex]T_{BC}[/tex]

## The Attempt at a Solution

Kinematic expression for particle B:

[tex]a=constant=1,22 \frac{m}{s^{2}}[/tex]

[tex]v=a.t[/tex]

[tex]x(2)=a.\frac{t^{2}}{2}=2,44 m[/tex]

Dynamic expression for particle B:

[tex]m_{B}.a_{B}=44,5+P-T_{BC} => 4,54 kg.1,22\frac{m}{s^{2}}= 44,5+P-T_{BC}[/tex]

Finding unknown rope force BC form dynamic expression of particle C:

Acceleration of particle C is the same as particle B

[tex]-5,54=44,5-T_{BC}[/tex]

[tex]T_{BC}=-50,.04N[/tex]

Apply this in equation for particle B gives: [tex]5,54=44,5+P-50,04 => P=11,08N[/tex]

**(Correct) solution has to be: 7,37 N**

What did I do wrong?