ch16-p064 - 64. Setting x = 0 in ay = y (see the solution...

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d a y d t = d ( ω ² y m sin (−ω t+ φ)) d t = y m ω 3 cos ( −ω t + φ ) < 0 at t = 0 . This implies that cos φ < 0 and consequently that is in either the second or third quadrant. The graph shows (at t = 0) a y = 100 m/s², and (at another t ) a max = 400 m/s². Therefore, a y = a max sin ( −ω t + ) | t = 0 ¡ = sin 1 ( 1 4 ) = 0.25 rad or 2.9 rad ( bear in mind that sin θ = sin( π − ) ) , and we must choose = 2.9 rad because this is about 166° and is in the second quadrant. Of course, this answer added to 2n π is still a valid answer (where n is any integer), so that, for example,
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This note was uploaded on 04/16/2011 for the course PHYSICS 191262 taught by Professor Najafzadeh during the Spring '09 term at The Petroleum Institute.

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