HW4-4 - L1 \ufb01 The coordinates of an object moving in the xy plane vary with time according to the following equations t is in sec0nds and(D has units

HW4-4 - L1 fi The coordinates of an object moving in the...

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Unformatted text preview: L1 . fi The coordinates of an object moving in the xy plane vary with time according to the following equations. t is in sec0nds and (D has units of radians*seconds ". x = -(6.80 m) sin (.0 t y = (4.00 m) - (6.80 m) cos a): i -s.80urnega .. ._ o (‘ was. i+9 _WWF)mrs ( l .._. if 6.30mEga"2 (a) Determine the camponents of velocity and components of acceleration at t = 0. (Use omega for (0.) a g . . W “Ir II E“ f ) mi's2 (b) Write expressions for the position vector, the velocity vector, and the acceleration vector at any time t > 0. (Use omega for a) and t as appropriate.) __ F—SBO sin(omaga t) ... i 4.00:6.80 cos(omaga t} w 4 r =( WWWWH ____________ w a' + 4 ..___.._._i_m_w._m-w_,r.m____w J ) m V : ( F630 omega weft—raga 1) WWW“ i + (Tortuga sh(<:n:e::ti_m mm f) ms t? = ( 6.50 orntaaz sin(omega t) :5 + {“6150 omega-*2 coe(omega t) f) misz (c) Describe the path of the object on an xy graph. x anal t$ a-I-e oscillod'or3 -FuAC+I\OA5- In 4'er CALSQ 'i'lflfi ob‘jed moves {A 0k ar‘r-cle oil radius 6.950 m cemlerer) 3 ; elf : 9‘}? + 0‘39 :_ [—ereot; (1050.30? + 6.55000 Sinfiw‘) ’3] W; H a; 2‘5" 3 @121» 0‘1sz [+6.30w15aw)? 1+ mo wzcosrse) flan/51 '6 € £ \WLH .__. HF- 51: Oahu/51. + (6301“) (.02 J 1% About, (aim-Pious 0prle . for rim/use f. 70 ...
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