A vertical force of F = 60 N is applied to the handle of the pipe wrench. Determine the moment that this force exerts along the axis AB (x axis) of the pipe assembly. Both the wrench and pipe assembly ABC lie in the x-y plane. Suggestion: Use a scalar analysis.
Image from: Hibbeler, R. C., S. C. Fan, Kai Beng. Yap, and Peter Schiavone. Statics: Mechanics for Engineers. Singapore: Pearson, 2013.
Solution:
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As the question suggests, we will use a scalar analysis to solve this problem. Let us first figure out the perpendicular distance from force F to the x-axis. This can be found using geometry as follows:
Diagram is not to scale
The distance d can be calculated like so:
d=0.15\sin45^0+0.2\sin45^0
d=0.2475 m
d=0.2475 m
We can now calculate the moment.
M_x=\sum M_x
M_x=(F)(d)
M_x=(60)(0.2475)
M_x=14.85 N•m
M_x=(F)(d)
M_x=(60)(0.2475)
M_x=14.85 N•m
Final Answer:
M_x=14.85 N•m