MTALHAHASSAN2 one year ago Use mathematical techniques to determine Fnet and acceleration for each of the following forces arrangements. For each, remember to include magnitude, unit, and direction

1. MTALHAHASSAN2

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2. MTALHAHASSAN2

how can we solve this type of problem can someone plz explain me

3. anonymous

$\sum F_y = 10N \sin (35^\circ) - 20N \\ \sum F_x = 10N \cos(35^\circ)$$\mathbf F = \mathbf i \sum F_x + \mathbf j\sum F_y$

4. anonymous

We could also say$\sum F_y = 10N\sin(35^\circ) +20N\sin(-90^\circ)$Since $$\sin(-90^\circ) = -1$$.

5. IrishBoy123

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6. MTALHAHASSAN2

wait but how can we show that on the diagram

7. MTALHAHASSAN2

like how is it be -90

8. MTALHAHASSAN2

@wio

9. MTALHAHASSAN2

@inkyvoyd

10. anonymous

|dw:1436169653345:dw| angle with the $$x$$ axis... clockwise angles are negative

11. MTALHAHASSAN2

oh ok thnx alot

12. Michele_Laino

we can write the subsequent vector equation: $\Large {{\mathbf{F}}_{\mathbf{1}}} + {{\mathbf{F}}_{\mathbf{2}}} + M{\mathbf{g}} = M{\mathbf{a}}$ where a is the acceleration of our object, and M is its mass, furthermore g, is the earth gravity |dw:1436186357407:dw|

13. Michele_Laino

so we have the subsequent scalar equations: $\Large \left\{ \begin{gathered} {F_1}\cos \theta = M{a_x} \hfill \\ \hfill \\ {F_1}\sin \theta - Mg - {F_2} = M{a_z} \hfill \\ \end{gathered} \right.$ where F_1 and F_2 are the magnitude of the corresponding vectors |dw:1436186583052:dw|