EM 274

# EM 274 - = × = = i k j k e e n e e e e k j i e e i j k i j...

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A B C x y z 30o 45o A 50 kg block is held on a smooth inclined plane by a force P that acts parallel to the plane. Determine the force P . n unit normal e A B e AC P take dot product with n 0 cos30 sin30 0.866 0.5 cos 45 sin 45 0.707 0.707 AB AC = ° - ° = - = ° - ° = - e i k i k e j k j k ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 0.866 0.5 0.707 0.707 0.866 .707 0.866 .707 0.5 .707 0.354 0.612 0.612 .354 .612 .612 .379 .655 .655 AB AC AB AC AB AC AB AC - × - × = = × × +
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Unformatted text preview: + = × + + = + + = + + i k j k e e n e e e e k j i e e i j k i j k ( 29 ( 29 50 9.81 490.5 p p N N = +-= =-∑ F n P k P k n ( 29 ( 29 490.5 490.5 0.655 321.28 p p N N N × = × -= = P n k n 121.8 210.44 210.44 p N = + + n i j k 122 210 280 N = --+ P i j k...
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