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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.
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- Fall '09
- Physics