EPF Lecture Notes for Section 4_5

EPF Lecture Notes for Section 4_5 - MOMENT ABOUT AN AXIS...

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MOMENT ABOUT AN AXIS Today’s Objectives : Students will be able to determine the moment of a force about an axis using a) scalar analysis, and b) vector analysis.
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APPLICATIONS With the force P , a person is creating a moment M A . Does all of M A act to turn the socket? How would you calculate an answer to this question?
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APPLICATIONS Sleeve A of this bracket can provide a maximum resisting moment of 125 N·m about the x-axis. How would you determine the maximum magnitude of F before turning about the x axis occurs?
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SCALAR ANALYSIS Recall that the moment of a scalar force about any point O is M O = F d O where d O is the perpendicular (or shortest) distance from the point to the force’s line of action . This concept can be extended to find the moment of a force about an axis. Finding the moment of a force about an axis can help answer the types of questions we just considered.
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SCALAR ANALYSIS In the figure above, the moment about the y-axis would be M y = F z (d x ) = F (r cos θ) . However, unless the force can
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