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Unformatted text preview: EM 274, Statics EXAM 1 Riley & Sturges Spring 2007 1. For the three forces shown: a. (10 Points) Find the x- and y- rectangular components of the 500-N force. b. (10 Points) Find the x- and y- rectangular components of the 750-N force. c. (10 Points) Find the resultant R of the three forces shown. Express your answer in terms of the magnitude and direction of the resultant 750 N 19 -._~__ M,-..._. M- L ~ ~ _»w ~_ 500” : 400 c + 300 \ >M Q -———9 ’—~, —.—* ,4 750” : (-482.oqc« 574.53J) 12’ : 146M341 N ,( Boga" z“ . _-M—.w.-~.t~m.—_mm 2. (30 Points) A 500-lb load is supported by four cables as shown. Neglect the weight of the cables and determine - a. The forces in cables A, B, and C. b. The magnitude of the vertical force I3 needed to hold the SOO-Ib load in equilibrium. EM 274, Statics EXAM 1 Riley 8. Sturges Spring 2007 3. A 750—N force F is applied to the handle of the lever-shaft assembly shown. a. (10 Points) Find the x-, y-, , and 2- components of the force. b. (10 Points) Find the moment MC of the force about the point C. (Express the moment in standard Cartesian vector form.) c. (10 Points) Find the moment , Mac of the force about the line BC. (Express the moment in standard Cartesian vector form.) 400 mm _... ..... > ———~, .._.. ISOmm a) 750“ z (—7044 1’» +49i.7l\5 _.-_-, _ 58 1.95'k ‘ . ‘ . \\ /,—-275mm I ._ . ~-‘.{/ H /' _'_; . M M I ‘9) Me = U54-54J +135-22h—> m C) Mac ‘ (‘49-1471» 53.95\> ’22,?gk) "‘- 4 Three forces are applied to the bar ABCDE as shown. Determine a. (10 Points) The moment of the ISO-N force F3 about the point D. b c (10 Points) The equivalent force-couple (of the three forces) at point D. (10 Points) The resultant of the three forces. Locate the resultant along the line ADE ...
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