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Unformatted text preview: A 200N force is applied as shown to the bracket ABC. Detennine the moment ofthe force about A. SOLUTION We have where ["CIA = (0.06 m)1 + (0.075 m)j Fe = (200 N)cos 30"j + (200 N)sin 30"k Then I M A ~ 200 0.06 o j 0.Q75 cos30" k 0 sin 30" ~ 200[(0.075,io 30)1 (0.06';0 30 0 )j  (0.06co, 30 0 )k] or M. ~(7.50Nm)i(6.00Nm)j(i039Nm)k <II PROBLEM 3.26 A small boat hangs from two davits, one of whieh is shown in the figure. The tension in line ABAD is 82 lb. Determine the moment about C of the resultant foree R A exerted on the davit at A. SOLUTION We have where and Thus Also U,ing Eq. (3.21), R A =2F,(8+F AD F,a =(821b)j F =F AD=(82Ib)617.75 13k AD AD AD 10.25 F'D = (48 Ib)i  (62 Ib)J (24Ib)k R, = 2F,. + F'D = (48 Ib)l (226 Ib)J (24Ib)k r"e =(7.75 ft)j+(3 ft)k i j k Me = 0 7.75 3 48 226 24 = (492 lb ft)1 + (1441b ft)j  (372 lb ft)k Me =(492 lb ft)1 + (144.0 Ibft)J(372lbft)k . .....
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 Spring '09
 Epstein

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