The pipe system shown in the figure is supported by fixed joint at points \( \mathrm{O} \). Calculate the followings: (a) Replace the force-couple system acting on the pipe by a resultant moment and a single force acting on Point \( \mathrm{O} \). (b) Replace the force-couple system acting on the pipe by a wrench resultant and determine the coordinates of the point in the xz plane through which the line of action of the wrench passes.
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Step 1: Analyze the given forces and moments We are given the following forces and moments acting on the pipe system: - Force F1 = 800 N acting at point A (0, 0, 2) in the negative z-direction - Force F2 = 600 N acting at point B (0, 3, 0) in the negative Show more…
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Determine the magnitude of the horizontal force $\mathbf{F}=-F \mathbf{i}$ acting on the handle of the wrench so that this force produces a component of the moment along the $O A$ axis $\left(z \text { axis ) of the pipe assembly of } \mathbf{M}_{z}=\{4 \mathbf{k}\} \mathbf{N} \cdot \mathbf{m}\right.$ Both the wrench and the pipe assembly, $O A B C,$ lie in the $y$ - $z$ plane. Suggestion: Use a scalar analysis.
A horizontal force of $\mathbf{F}=\{-50 \mathbf{i}\} \mathrm{N}$ is applied perpendicular to the handle of the pipe wrench. Determine the moment that this force exerts along the axis $O A(z \text { axis })$ of the pipe assembly. Both the wrench and pipe assembly, $O A B C,$ lie in the $y-z$ plane. Suggestion: Use a scalar analysis.
The forces and couples shown are applied to two screws as a piece of sheet metal is fastened to a block of wood. Reduce the forces and the couples to an equivalent wrench and determine (a) the resultant force R, (b) the pitch of the wrench, (c) the point where the axis of the wrench intersects the xz plane.
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