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Unformatted text preview: ME 331? HW 2 SolHow Hg 8.4.6. Consider the illustrated biomechanical model of a @ ~ H g 5 MN Y Ram e“. person’s left arm. The person rotates her upper armXEwith
constant angular velocity (1)1 b1, so that it goes from pointing W ' x; M M 3 straight down to pointing directly ahead in 1 st The bi set of F”: “W'
unit vectors is ﬁxed to the upper arm AB. At the same time '_ that she’s raising her upper arm, she rotates her forearm N r. as! M (ELM g
BC with angular velocity cozbz (a); constant), so that there’s ' 6’" V
a 90°. bend between her upper arm and forearm at the end of 1 5. What is the forearm’s angular acceleration during the _ b
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shopper dropped a package of ice cream cones, scattering _
them across the ﬂoor. Rather than cleaning up the mess, ,
the shopper decided to determine the maximum velocity of ‘
a point on the cone. Assume that the cone rolls without slip
at a constant speed (completing a circle every 2 s). What is
the maximum velocity seen by a point on the cone? Top view Top view
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6c ha u ' M L Is > C I i> 8.4.1 8. A gun platform P rotates about the vertical axis
2, and the/ gun barrel rotates about the x axis. The x, y, z
frame rotates with the platform P and has associated unit
vectors b1, b2, b3. The platform rotates at 2 rad/s, and its
angular acceleration is 4 rad/$2. The gun swivels up at a
constant rate of 3 rad/s with respect to the platform. What
are v A and a A at the illustrated position? The gun barrel lies in the y,z plane. gr
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 Spring '11
 mcschmit

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