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EPF Lecture Notes for Section 4_6

# EPF Lecture Notes for Section 4_6 - MOMENT OF A COUPLE...

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MOMENT OF A COUPLE Today’s Objectives : Students will be able to a) define a couple, and, b) determine the moment of a couple.

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APPLICATIONS A torque or moment of 12 N · m is required to rotate the wheel. Why does one of the two grips of the wheel above require less force to rotate the wheel?
APPLICATIONS (continued) Would older vehicles without power steering have larger or smaller steering wheels? When you grip a vehicle’s steering wheel with both hands, a couple moment is applied to the wheel.

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MOMENT OF A COUPLE The moment of a couple is defined as M O = F d (using a scalar analysis) or as M O = r × F (using a vector analysis). Here r is any position vector from the line of action of –F to the line of action of F . A couple is defined as two parallel forces with the same magnitude but opposite in direction separated by a perpendicular distance d .
MOMENT OF A COUPLE (continued) Moments due to couples can be added together using the same rules as adding any vectors. The net external effect of a couple is that the net force equals zero and the magnitude of the net moment equals F *d.

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EPF Lecture Notes for Section 4_6 - MOMENT OF A COUPLE...

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