A vertical force of F = 60 N is applied


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.

A vertical force of F = 60 N is applied

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:

A vertical force of F = 60 N is applied

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

 

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

 

Final Answer:

M_x=14.85 N•m

 

This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 4, question 4-60.

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