EM 306-Hayes-Fall 2005-Tests 1 and 2

EM 306-Hayes-Fall 2005-Tests 1 and 2 - 1A Work this problem...

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Unformatted text preview: 1A. Work this problem on this piece of paper. In each of the following parts you are to use only a straight edge and work the problem graphically. You do not need to make measurements. Your answer will be a vector drawn on this page. (a) Add these vectors (b) Subtract A from B--> B <, (c) A+B = R--> Find B (d) Find two vectors that lie along the dashed lines that are exactly equivalent to the vector A t\.O N - o-rl:.. <:"~...-v\'" <-t",,::-.I•••• \ . . . . . , • • • • • ~ \~CA-""--~lI. \-co L..~ .lLCt,v-~-J'",-\-t.;,r..;\ ~ ') ~)" \r-........ \:\.L ~.~VO-L 1'N-'7Jv:.- \v..).{ ~ J" (tl..\.~·..r--, ~ t ' C 01'f1 boo ~ .. \i\r a l1 i 2- vC'cf-or$ f" a ) \A..lL-tt'/iI. C( > (e equiva 1 el1-f +0 A 1 B The box has side of 2', 2' and 4' as shown. a. Write the position vector from to the center (middle) of the rectangular face ABFE. b. What is the angle between the position vector of part (a) and the line OG?- c. A force, P, of magnitude 100 Ib acts from point E and points towards D. Write the force in Cartesian co-ordinates. d. What is the component of P in the direction of the position vector of part (a)? o (0,<>,"'\ ~\ ~:.. (. ~I 1., \ ) t lr ~ <,;~, (?-~y, ~ (?-_ Q}-:; ,ll-O '\"" \-.\.' 1 Y n"~ I< H \ /-, \ 2. A student of mechanics wishes to weigh himself but he only has access to a scale A with capacity limited to 100 Ib and a small 20-lb spring dynamometer B. With the rig shown he discovers that when he exerts a pull on the rope so that B registers 19 Ib, the scale A reads 67 lb. What is his correct weight? NO-' / 3. Using two ropes and a roller chute, two workers are unloading a 200-kg cast iron counterweight from a truck. At the instant shown, the counterweight is not moving. The positions of the points are Y A(O, -.5, 1) m 8(-.6, .8, 0) m C( .7, .9,0) m z Assume there is no friction between the counterweight and the chute. Determine the force in the two ropes in each of the ropes....
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EM 306-Hayes-Fall 2005-Tests 1 and 2 - 1A Work this problem...

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