Boom - % BOOM.AL % Boom problem in section 4-2 involving...

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Sheet1 Page 1 % BOOM.AL % Boom problem in section 4-2 involving statics and Coulomb friction. % % Goal: Find the value of the angle q at which the boom will begin to % slip, where q can be a function of l, c, mu, and w. % % Solution approach: We really have 2 DOF (the angle shown and rotation of % the boom about its long axis), which means that we will have four % unknown reaction forces (three for ball and socket joint and one for % contact with wall). In addition, Coulomb friction gives us an unkown % tangential reaction force (though we can still have motion in that % direction) that is related to the unknown normal reaction force by % tan = mu*norm. This gives us one additional unknown but also one % additional equation. Thus, we have six equations of static equilibrium % and one friction equation for a total of seven equations in seven % unknowns. However, if we take moments about the ball and socket joint, % its three unknown reaction forces will not show up as long as the joint % is "smooth" (i.e., frictionless - no frictional forces mean that the

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This note was uploaded on 06/13/2011 for the course EML 5215 taught by Professor Staff during the Fall '08 term at University of Florida.

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Boom - % BOOM.AL % Boom problem in section 4-2 involving...

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