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# A 10-kg object on a frictionless table is subjected to two horizontal forces, $\vec{F}_1$ and $\vec{F}_2$, with magnitudes $F_1=20 \mathrm{~N}$ and $F_2=30 \mathrm{~N}$, as shown in Figure 4-35. (a) Find the acceleration $\vec{a}$ of the object. (b) A third force $\vec{F}_3$ is applied so that the object is in static equilibrium. Find $\vec{F}_3$.

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We have a block with:

• Mass $m=\mathrm{10\hspace{1mm}kg}$

in the middle of three-dimensional coordinate system.

We have two forces acting upon the objects:

• $F_1=\mathrm{20\hspace{1mm}N}$ in x direction
• $F_2=\mathrm{30\hspace{1mm}N}$ on xy plane, at $\theta=30 \degree$ angle with y axis.

We need to determine the acceleration $a$ of the block.

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