[PDF] More Examples on Moments



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MOMENT OF A COUPLE - Kwantlen Polytechnic University

MOMENT OF A COUPLE (continued) The net external effect of a couple is that the net force equals zero and the magnitude of the net moment equals F d Moments due to couples can be added using the same rules as adding any vectors Since the moment of a couple depends only on the distance between the forces, the moment of a couple is a free vector It



5 Moment of a Couple - Oakland University

The moment of the couple can be calculated using the cross product operator on the Matrix toolbar » M = cross(r_A,F_A) + cross(r_B,F_B); Newton centimeters » M = M/100 Newton meters M = 0 0 -120 0000 The result is a couple moment of 120 N⋅m directed in the –z direction (into the page) Solution 2



MOMENT OF A COUPLE - Philadelphia University

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



MOMENT OF A COUPLE - DEU

MOMENT OF A COUPLE The moment of a couple is defined as MO = F d (using a scalar analysis) Important Note: Moment of a couple depends solely on the magnitude and the perpendicular distance between the forces, it is “free vector” A couple is defined as two parallel forces with the same magnitude but opposite in direction separated by a



5 MOMENTS, COUPLES, FORCES SYSTEMS & FORCE RESOLUTION

couple d F F F F Concept of a Couple When you grasp the opposite side of the steering wheel and turn it, you are applying a couple to the wheel A couple is defined as two forces (coplanar) having the same magnitude, parallel lines of action, but opposite sense Couples have pure rotational effectson the



ENGR-1100 Introduction to Engineering Analysis

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



y SOLUTION - Florida International University

resultant couple moment Compute the result by resolving each force into x and y components and (a) finding the moment of each couple (Eq 4–13) and (b) summing the moments of all the force components about point A d = 4f t, 2f t B A y 1f t 3f t 50 lb 80 lb 50 lb 30˜ 30˜ 5 4 3 80 lb 3f t d x 5 4 3



More Examples on Moments

is the perpendicular distance between the lines of action of the couple forces, fig 3—30c However, the computation for d is more involved Realize that the couple moment is a free vector and can act at any point on the gear and produce the same turning effect about point O



13–1

the couple moment at the fixed support A Solution Equation of Motion Referring to the FBD of the crate shown in Fig a, +cΣF y = ma y; T - 50(9 81) = 50(6) T = 790 5 N Equations of Equilibrium Since the pulley is smooth, the tension is constant throughout entire cable Referring to the FBD of the pulley shown in Fig b, S+ ΣF x =0; 7 9

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