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?
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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 .
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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. Since the moment of a couple depends only on the distance between the forces, the moment of a couple is a free vector . It can be moved anywhere on the body and have the same external effect on the body.
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This note was uploaded on 05/06/2011 for the course MECHENG 201 taught by Professor Rankin during the Spring '11 term at Wisconsin Milwaukee.

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

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