Forces29.pdf - (rB rA =di d tan j FB = N sin i N cos j M...

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( ) ( ) 2 2 ( ) tan sin cos ( ) cos tan sin (cos sin ) / cos ( / cos ) B A B B A B d d N N dN d N dN dN θ θ θ θ θ θ θ θ θ θ = + = + = × = + = + = r r i j F i j M r r F k k k giving the same answer as before, but with a whole lot more effort! Similarly, for the weight force ( ) ( / 2)cos ( / 2)sin ( ) ( / 2)cos C A C C A B L L W L W θ θ θ = + = − = − × = r r i j F j M r r F k 3. The moment exerted by a force is unchanged if the force is moved in a direction parallel to the direction of the force. This is rather obvious in light of trick (2), but it’s worth stating anyway. 4. The component of moment exerted by a force about an axis through a point can be calculated by (i) finding the two force components perpendicular to the axis; then (ii) multiplying each force component by its perpendicular distance from the axis; and (iii) adding the contributions of each force component following the
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