At start of class time 3. Use Mathcad to solve the following problem. The crane is supported at A and B only during lifting. If the crane and truck have a mass of 18 Mg (Mg is Megagrams) and center of mass at $G_1$, and the boom has a mass of 1.8 Mg and a center of mass at $G_2$, determine the vertical reactions at A and B as a function of the boom angle (Use the angle with the horizontal. Ignore the angle in figure.) when the boom is supporting a load having a mass of 1.2 Mg. Plot the magnitude of the reactions over an angle range of 90° to 0°. At what angle does tipping occur?
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The forces include: - Weight of the crane and truck (18 Mg) acting at \( G_1 \). - Weight of the boom (1.8 Mg) acting at \( G_2 \). - Weight of the load (1.2 Mg) at the end of the boom. - Reactions at supports A and B. Show more…
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The mobile crane is symmetrically supported by two outriggers at $A$ and two at $B$ in order to relieve the suspension of the truck upon which it rests and to provide greater stability. If the crane boom and truck have a mass of $18 \mathrm{Mg}$ and center of mass at $G_{1},$ and the boom has a mass of $1.8 \mathrm{Mg}$ and a center of mass at $G_{2}$, determine the vertical reactions at each of the four outriggers as a function of the boom angle $\theta$ when the boom is supporting a load having a mass of $1.2 \mathrm{Mg}$. Plot the results measured from $\theta=0^{\circ}$ to the critical angle where tipping starts to occur.
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