Prism Box Force Weight

We turn the prism-shaped box with a height of 1 m and a square base with an edge of 0.6 m under a force of 350 N, which acts horizontally compared to the upper edge. What is the weight of the box?

Final Answer:

m =  1800.7351 kg

Step-by-step explanation:

$$\begin{gathered} c=1\text{m} \\ a=0.6\text{m} \\ F=350\text{N} \\ g=10{\text{m/s}}^2 \\ u=\sqrt{c^2+a^2}=\sqrt{1^2+0.6^2}\doteq 1.1662\text{m} \\ r=u/2=1.1662/2\doteq 0.5831\text{m} \\ M=Fr \\ M=F\cdot r=350\cdot 0.5831=35\sqrt{34}\text{Nm}\doteq 204.0833\text{Nm} \\ M=\frac{1}{12}\cdot m\cdot (c^2+a^2) \\ m=\frac{12\cdot M}{c^2+a^2}=\frac{12\cdot 204.0833}{1^2+0.6^2}=1800.7351\text{kg} \end{gathered}$$

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